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Finding the Third Proportional to 91,746 and 129,200

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Solution

The third proportional to 91,746 and 129,200 is: 181,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746 : 129,200 = 129,200 : x
  2. Step 2: Convert to fraction form
    91,746/129,200 = 129,200/x
  3. Step 3: Cross multiply
    91,746x = 129,200 × 129,200
  4. Step 4: Simplify right side
    91,746x = 16,692,640,000
  5. Step 5: Solve for x
    x = 16,692,640,000/91,746
  6. Step 6: Final answer
    x = 181,944.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.