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Finding the Third Proportional to 69,565 and 104,363

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Solution

The third proportional to 69,565 and 104,363 is: 156,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,565 : 104,363 = 104,363 : x
  2. Step 2: Convert to fraction form
    69,565/104,363 = 104,363/x
  3. Step 3: Cross multiply
    69,565x = 104,363 × 104,363
  4. Step 4: Simplify right side
    69,565x = 10,891,635,769
  5. Step 5: Solve for x
    x = 10,891,635,769/69,565
  6. Step 6: Final answer
    x = 156,567.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.