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Finding the Third Proportional to 52,139 and 86,295

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Solution

The third proportional to 52,139 and 86,295 is: 142,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,139 : 86,295 = 86,295 : x
  2. Step 2: Convert to fraction form
    52,139/86,295 = 86,295/x
  3. Step 3: Cross multiply
    52,139x = 86,295 × 86,295
  4. Step 4: Simplify right side
    52,139x = 7,446,827,025
  5. Step 5: Solve for x
    x = 7,446,827,025/52,139
  6. Step 6: Final answer
    x = 142,826.43

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.