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Finding the Third Proportional to 67,565 and 148,102

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Solution

The third proportional to 67,565 and 148,102 is: 324,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,565 : 148,102 = 148,102 : x
  2. Step 2: Convert to fraction form
    67,565/148,102 = 148,102/x
  3. Step 3: Cross multiply
    67,565x = 148,102 × 148,102
  4. Step 4: Simplify right side
    67,565x = 21,934,202,404
  5. Step 5: Solve for x
    x = 21,934,202,404/67,565
  6. Step 6: Final answer
    x = 324,638.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.