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Finding the Third Proportional to 84,769 and 187,033

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Solution

The third proportional to 84,769 and 187,033 is: 412,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,769 : 187,033 = 187,033 : x
  2. Step 2: Convert to fraction form
    84,769/187,033 = 187,033/x
  3. Step 3: Cross multiply
    84,769x = 187,033 × 187,033
  4. Step 4: Simplify right side
    84,769x = 34,981,343,089
  5. Step 5: Solve for x
    x = 34,981,343,089/84,769
  6. Step 6: Final answer
    x = 412,666.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.