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Finding the Third Proportional to 59,102 and 129,686

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Solution

The third proportional to 59,102 and 129,686 is: 284,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,102 : 129,686 = 129,686 : x
  2. Step 2: Convert to fraction form
    59,102/129,686 = 129,686/x
  3. Step 3: Cross multiply
    59,102x = 129,686 × 129,686
  4. Step 4: Simplify right side
    59,102x = 16,818,458,596
  5. Step 5: Solve for x
    x = 16,818,458,596/59,102
  6. Step 6: Final answer
    x = 284,566.66

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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.