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Finding the Third Proportional to 59,143.61 and 129,737.64

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Solution

The third proportional to 59,143.61 and 129,737.64 is: 284,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,143.61 : 129,737.64 = 129,737.64 : x
  2. Step 2: Convert to fraction form
    59,143.61/129,737.64 = 129,737.64/x
  3. Step 3: Cross multiply
    59,143.61x = 129,737.64 × 129,737.64
  4. Step 4: Simplify right side
    59,143.61x = 16,831,854,381.37
  5. Step 5: Solve for x
    x = 16,831,854,381.37/59,143.61
  6. Step 6: Final answer
    x = 284,592.97

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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.