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Finding the Third Proportional to 67,432 and 97,130

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Solution

The third proportional to 67,432 and 97,130 is: 139,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,432 : 97,130 = 97,130 : x
  2. Step 2: Convert to fraction form
    67,432/97,130 = 97,130/x
  3. Step 3: Cross multiply
    67,432x = 97,130 × 97,130
  4. Step 4: Simplify right side
    67,432x = 9,434,236,900
  5. Step 5: Solve for x
    x = 9,434,236,900/67,432
  6. Step 6: Final answer
    x = 139,907.42

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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.