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Finding the Third Proportional to 63,564 and 86,327.50

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Solution

The third proportional to 63,564 and 86,327.50 is: 117,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564 : 86,327.50 = 86,327.50 : x
  2. Step 2: Convert to fraction form
    63,564/86,327.50 = 86,327.50/x
  3. Step 3: Cross multiply
    63,564x = 86,327.50 × 86,327.50
  4. Step 4: Simplify right side
    63,564x = 7,452,437,256.25
  5. Step 5: Solve for x
    x = 7,452,437,256.25/63,564
  6. Step 6: Final answer
    x = 117,243.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.