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Finding the Third Proportional to 63,369 and 86,017.50

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Solution

The third proportional to 63,369 and 86,017.50 is: 116,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,369 : 86,017.50 = 86,017.50 : x
  2. Step 2: Convert to fraction form
    63,369/86,017.50 = 86,017.50/x
  3. Step 3: Cross multiply
    63,369x = 86,017.50 × 86,017.50
  4. Step 4: Simplify right side
    63,369x = 7,399,010,306.25
  5. Step 5: Solve for x
    x = 7,399,010,306.25/63,369
  6. Step 6: Final answer
    x = 116,760.72

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Why These Related Problems?

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