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Finding the Third Proportional to 59,192 and 129,292

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Solution

The third proportional to 59,192 and 129,292 is: 282,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192 : 129,292 = 129,292 : x
  2. Step 2: Convert to fraction form
    59,192/129,292 = 129,292/x
  3. Step 3: Cross multiply
    59,192x = 129,292 × 129,292
  4. Step 4: Simplify right side
    59,192x = 16,716,421,264
  5. Step 5: Solve for x
    x = 16,716,421,264/59,192
  6. Step 6: Final answer
    x = 282,410.14

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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.