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Finding the Third Proportional to 54,416.63 and 84,084.38

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Solution

The third proportional to 54,416.63 and 84,084.38 is: 129,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,416.63 : 84,084.38 = 84,084.38 : x
  2. Step 2: Convert to fraction form
    54,416.63/84,084.38 = 84,084.38/x
  3. Step 3: Cross multiply
    54,416.63x = 84,084.38 × 84,084.38
  4. Step 4: Simplify right side
    54,416.63x = 7,070,182,119.14
  5. Step 5: Solve for x
    x = 7,070,182,119.14/54,416.63
  6. Step 6: Final answer
    x = 129,926.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.