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Finding the Third Proportional to 67,122 and 98,731

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Solution

The third proportional to 67,122 and 98,731 is: 145,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,122 : 98,731 = 98,731 : x
  2. Step 2: Convert to fraction form
    67,122/98,731 = 98,731/x
  3. Step 3: Cross multiply
    67,122x = 98,731 × 98,731
  4. Step 4: Simplify right side
    67,122x = 9,747,810,361
  5. Step 5: Solve for x
    x = 9,747,810,361/67,122
  6. Step 6: Final answer
    x = 145,225.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.