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Finding the Third Proportional to 54,031.78 and 86,814.28

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Solution

The third proportional to 54,031.78 and 86,814.28 is: 139,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,031.78 : 86,814.28 = 86,814.28 : x
  2. Step 2: Convert to fraction form
    54,031.78/86,814.28 = 86,814.28/x
  3. Step 3: Cross multiply
    54,031.78x = 86,814.28 × 86,814.28
  4. Step 4: Simplify right side
    54,031.78x = 7,536,719,428.95
  5. Step 5: Solve for x
    x = 7,536,719,428.95/54,031.78
  6. Step 6: Final answer
    x = 139,486.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.