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Finding the Third Proportional to 45,127 and 66,151

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Solution

The third proportional to 45,127 and 66,151 is: 96,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,127 : 66,151 = 66,151 : x
  2. Step 2: Convert to fraction form
    45,127/66,151 = 66,151/x
  3. Step 3: Cross multiply
    45,127x = 66,151 × 66,151
  4. Step 4: Simplify right side
    45,127x = 4,375,954,801
  5. Step 5: Solve for x
    x = 4,375,954,801/45,127
  6. Step 6: Final answer
    x = 96,969.77

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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.