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Finding the Third Proportional to 124,386 and 191,281.50

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Solution

The third proportional to 124,386 and 191,281.50 is: 294,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,386 : 191,281.50 = 191,281.50 : x
  2. Step 2: Convert to fraction form
    124,386/191,281.50 = 191,281.50/x
  3. Step 3: Cross multiply
    124,386x = 191,281.50 × 191,281.50
  4. Step 4: Simplify right side
    124,386x = 36,588,612,242.25
  5. Step 5: Solve for x
    x = 36,588,612,242.25/124,386
  6. Step 6: Final answer
    x = 294,153.78

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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.