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Finding the Third Proportional to 61,724 and 133,042

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Solution

The third proportional to 61,724 and 133,042 is: 286,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,724 : 133,042 = 133,042 : x
  2. Step 2: Convert to fraction form
    61,724/133,042 = 133,042/x
  3. Step 3: Cross multiply
    61,724x = 133,042 × 133,042
  4. Step 4: Simplify right side
    61,724x = 17,700,173,764
  5. Step 5: Solve for x
    x = 17,700,173,764/61,724
  6. Step 6: Final answer
    x = 286,763.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.