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Finding the Third Proportional to 124,258.50 and 191,272.50

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Solution

The third proportional to 124,258.50 and 191,272.50 is: 294,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,258.50 : 191,272.50 = 191,272.50 : x
  2. Step 2: Convert to fraction form
    124,258.50/191,272.50 = 191,272.50/x
  3. Step 3: Cross multiply
    124,258.50x = 191,272.50 × 191,272.50
  4. Step 4: Simplify right side
    124,258.50x = 36,585,169,256.25
  5. Step 5: Solve for x
    x = 36,585,169,256.25/124,258.50
  6. Step 6: Final answer
    x = 294,427.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.