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Finding the Third Proportional to 60,689 and 133,042

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Solution

The third proportional to 60,689 and 133,042 is: 291,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,689 : 133,042 = 133,042 : x
  2. Step 2: Convert to fraction form
    60,689/133,042 = 133,042/x
  3. Step 3: Cross multiply
    60,689x = 133,042 × 133,042
  4. Step 4: Simplify right side
    60,689x = 17,700,173,764
  5. Step 5: Solve for x
    x = 17,700,173,764/60,689
  6. Step 6: Final answer
    x = 291,653.74

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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.