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Finding the Third Proportional to 58,241 and 87,842

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Solution

The third proportional to 58,241 and 87,842 is: 132,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,241 : 87,842 = 87,842 : x
  2. Step 2: Convert to fraction form
    58,241/87,842 = 87,842/x
  3. Step 3: Cross multiply
    58,241x = 87,842 × 87,842
  4. Step 4: Simplify right side
    58,241x = 7,716,216,964
  5. Step 5: Solve for x
    x = 7,716,216,964/58,241
  6. Step 6: Final answer
    x = 132,487.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.