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Finding the Third Proportional to 63,569 and 86,333

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Solution

The third proportional to 63,569 and 86,333 is: 117,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,569 : 86,333 = 86,333 : x
  2. Step 2: Convert to fraction form
    63,569/86,333 = 86,333/x
  3. Step 3: Cross multiply
    63,569x = 86,333 × 86,333
  4. Step 4: Simplify right side
    63,569x = 7,453,386,889
  5. Step 5: Solve for x
    x = 7,453,386,889/63,569
  6. Step 6: Final answer
    x = 117,248.77

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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.