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Finding the Third Proportional to 92,294 and 121,190

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Solution

The third proportional to 92,294 and 121,190 is: 159,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,294 : 121,190 = 121,190 : x
  2. Step 2: Convert to fraction form
    92,294/121,190 = 121,190/x
  3. Step 3: Cross multiply
    92,294x = 121,190 × 121,190
  4. Step 4: Simplify right side
    92,294x = 14,687,016,100
  5. Step 5: Solve for x
    x = 14,687,016,100/92,294
  6. Step 6: Final answer
    x = 159,132.95

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.