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Finding the Third Proportional to 86,272 and 132,139

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Solution

The third proportional to 86,272 and 132,139 is: 202,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,272 : 132,139 = 132,139 : x
  2. Step 2: Convert to fraction form
    86,272/132,139 = 132,139/x
  3. Step 3: Cross multiply
    86,272x = 132,139 × 132,139
  4. Step 4: Simplify right side
    86,272x = 17,460,715,321
  5. Step 5: Solve for x
    x = 17,460,715,321/86,272
  6. Step 6: Final answer
    x = 202,391.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.