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Finding the Third Proportional to 67,438 and 97,141

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Solution

The third proportional to 67,438 and 97,141 is: 139,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,438 : 97,141 = 97,141 : x
  2. Step 2: Convert to fraction form
    67,438/97,141 = 97,141/x
  3. Step 3: Cross multiply
    67,438x = 97,141 × 97,141
  4. Step 4: Simplify right side
    67,438x = 9,436,373,881
  5. Step 5: Solve for x
    x = 9,436,373,881/67,438
  6. Step 6: Final answer
    x = 139,926.66

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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.