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Finding the Third Proportional to 124,309.50 and 197,151

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Solution

The third proportional to 124,309.50 and 197,151 is: 312,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,309.50 : 197,151 = 197,151 : x
  2. Step 2: Convert to fraction form
    124,309.50/197,151 = 197,151/x
  3. Step 3: Cross multiply
    124,309.50x = 197,151 × 197,151
  4. Step 4: Simplify right side
    124,309.50x = 38,868,516,801
  5. Step 5: Solve for x
    x = 38,868,516,801/124,309.50
  6. Step 6: Final answer
    x = 312,675.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.