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Finding the Third Proportional to 67,436 and 97,138

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Solution

The third proportional to 67,436 and 97,138 is: 139,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,436 : 97,138 = 97,138 : x
  2. Step 2: Convert to fraction form
    67,436/97,138 = 97,138/x
  3. Step 3: Cross multiply
    67,436x = 97,138 × 97,138
  4. Step 4: Simplify right side
    67,436x = 9,435,791,044
  5. Step 5: Solve for x
    x = 9,435,791,044/67,436
  6. Step 6: Final answer
    x = 139,922.16

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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.