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Finding the Third Proportional to 67,581 and 97,347

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Solution

The third proportional to 67,581 and 97,347 is: 140,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,581 : 97,347 = 97,347 : x
  2. Step 2: Convert to fraction form
    67,581/97,347 = 97,347/x
  3. Step 3: Cross multiply
    67,581x = 97,347 × 97,347
  4. Step 4: Simplify right side
    67,581x = 9,476,438,409
  5. Step 5: Solve for x
    x = 9,476,438,409/67,581
  6. Step 6: Final answer
    x = 140,223.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.