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Finding the Third Proportional to 91,211 and 145,708

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Solution

The third proportional to 91,211 and 145,708 is: 232,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,211 : 145,708 = 145,708 : x
  2. Step 2: Convert to fraction form
    91,211/145,708 = 145,708/x
  3. Step 3: Cross multiply
    91,211x = 145,708 × 145,708
  4. Step 4: Simplify right side
    91,211x = 21,230,821,264
  5. Step 5: Solve for x
    x = 21,230,821,264/91,211
  6. Step 6: Final answer
    x = 232,766.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.