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Finding the Third Proportional to 84,970 and 187,088

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Solution

The third proportional to 84,970 and 187,088 is: 411,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,970 : 187,088 = 187,088 : x
  2. Step 2: Convert to fraction form
    84,970/187,088 = 187,088/x
  3. Step 3: Cross multiply
    84,970x = 187,088 × 187,088
  4. Step 4: Simplify right side
    84,970x = 35,001,919,744
  5. Step 5: Solve for x
    x = 35,001,919,744/84,970
  6. Step 6: Final answer
    x = 411,932.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.