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Finding the Third Proportional to 59,140 and 129,206

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Solution

The third proportional to 59,140 and 129,206 is: 282,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,140 : 129,206 = 129,206 : x
  2. Step 2: Convert to fraction form
    59,140/129,206 = 129,206/x
  3. Step 3: Cross multiply
    59,140x = 129,206 × 129,206
  4. Step 4: Simplify right side
    59,140x = 16,694,190,436
  5. Step 5: Solve for x
    x = 16,694,190,436/59,140
  6. Step 6: Final answer
    x = 282,282.56

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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.