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Finding the Third Proportional to 90,262 and 132,314

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Solution

The third proportional to 90,262 and 132,314 is: 193,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,262 : 132,314 = 132,314 : x
  2. Step 2: Convert to fraction form
    90,262/132,314 = 132,314/x
  3. Step 3: Cross multiply
    90,262x = 132,314 × 132,314
  4. Step 4: Simplify right side
    90,262x = 17,506,994,596
  5. Step 5: Solve for x
    x = 17,506,994,596/90,262
  6. Step 6: Final answer
    x = 193,957.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.