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Finding the Third Proportional to 63,607 and 86,384

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Solution

The third proportional to 63,607 and 86,384 is: 117,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,607 : 86,384 = 86,384 : x
  2. Step 2: Convert to fraction form
    63,607/86,384 = 86,384/x
  3. Step 3: Cross multiply
    63,607x = 86,384 × 86,384
  4. Step 4: Simplify right side
    63,607x = 7,462,195,456
  5. Step 5: Solve for x
    x = 7,462,195,456/63,607
  6. Step 6: Final answer
    x = 117,317.20

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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.