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Finding the Third Proportional to 58,842.75 and 83,854.13

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Solution

The third proportional to 58,842.75 and 83,854.13 is: 119,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.75 : 83,854.13 = 83,854.13 : x
  2. Step 2: Convert to fraction form
    58,842.75/83,854.13 = 83,854.13/x
  3. Step 3: Cross multiply
    58,842.75x = 83,854.13 × 83,854.13
  4. Step 4: Simplify right side
    58,842.75x = 7,031,514,279.52
  5. Step 5: Solve for x
    x = 7,031,514,279.52/58,842.75
  6. Step 6: Final answer
    x = 119,496.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.