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Finding the Third Proportional to 59,156 and 129,239

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Solution

The third proportional to 59,156 and 129,239 is: 282,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,156 : 129,239 = 129,239 : x
  2. Step 2: Convert to fraction form
    59,156/129,239 = 129,239/x
  3. Step 3: Cross multiply
    59,156x = 129,239 × 129,239
  4. Step 4: Simplify right side
    59,156x = 16,702,719,121
  5. Step 5: Solve for x
    x = 16,702,719,121/59,156
  6. Step 6: Final answer
    x = 282,350.38

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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.