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Finding the Third Proportional to 67,496 and 107,272

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Solution

The third proportional to 67,496 and 107,272 is: 170,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,496 : 107,272 = 107,272 : x
  2. Step 2: Convert to fraction form
    67,496/107,272 = 107,272/x
  3. Step 3: Cross multiply
    67,496x = 107,272 × 107,272
  4. Step 4: Simplify right side
    67,496x = 11,507,281,984
  5. Step 5: Solve for x
    x = 11,507,281,984/67,496
  6. Step 6: Final answer
    x = 170,488.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.