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Finding the Third Proportional to 59,120 and 129,737

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Solution

The third proportional to 59,120 and 129,737 is: 284,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,120 : 129,737 = 129,737 : x
  2. Step 2: Convert to fraction form
    59,120/129,737 = 129,737/x
  3. Step 3: Cross multiply
    59,120x = 129,737 × 129,737
  4. Step 4: Simplify right side
    59,120x = 16,831,689,169
  5. Step 5: Solve for x
    x = 16,831,689,169/59,120
  6. Step 6: Final answer
    x = 284,703.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.