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Finding the Third Proportional to 59,569.50 and 129,817.50

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Solution

The third proportional to 59,569.50 and 129,817.50 is: 282,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,569.50 : 129,817.50 = 129,817.50 : x
  2. Step 2: Convert to fraction form
    59,569.50/129,817.50 = 129,817.50/x
  3. Step 3: Cross multiply
    59,569.50x = 129,817.50 × 129,817.50
  4. Step 4: Simplify right side
    59,569.50x = 16,852,583,306.25
  5. Step 5: Solve for x
    x = 16,852,583,306.25/59,569.50
  6. Step 6: Final answer
    x = 282,906.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.