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Finding the Third Proportional to 137,569.50 and 207,741

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Solution

The third proportional to 137,569.50 and 207,741 is: 313,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569.50 : 207,741 = 207,741 : x
  2. Step 2: Convert to fraction form
    137,569.50/207,741 = 207,741/x
  3. Step 3: Cross multiply
    137,569.50x = 207,741 × 207,741
  4. Step 4: Simplify right side
    137,569.50x = 43,156,323,081
  5. Step 5: Solve for x
    x = 43,156,323,081/137,569.50
  6. Step 6: Final answer
    x = 313,705.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.