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Finding the Third Proportional to 86,442 and 133,352

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Solution

The third proportional to 86,442 and 133,352 is: 205,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,442 : 133,352 = 133,352 : x
  2. Step 2: Convert to fraction form
    86,442/133,352 = 133,352/x
  3. Step 3: Cross multiply
    86,442x = 133,352 × 133,352
  4. Step 4: Simplify right side
    86,442x = 17,782,755,904
  5. Step 5: Solve for x
    x = 17,782,755,904/86,442
  6. Step 6: Final answer
    x = 205,718.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.