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Finding the Third Proportional to 67,306 and 101,121

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Solution

The third proportional to 67,306 and 101,121 is: 151,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306 : 101,121 = 101,121 : x
  2. Step 2: Convert to fraction form
    67,306/101,121 = 101,121/x
  3. Step 3: Cross multiply
    67,306x = 101,121 × 101,121
  4. Step 4: Simplify right side
    67,306x = 10,225,456,641
  5. Step 5: Solve for x
    x = 10,225,456,641/67,306
  6. Step 6: Final answer
    x = 151,924.89

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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.