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Finding the Third Proportional to 71,127 and 164,239.88

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Solution

The third proportional to 71,127 and 164,239.88 is: 379,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,127 : 164,239.88 = 164,239.88 : x
  2. Step 2: Convert to fraction form
    71,127/164,239.88 = 164,239.88/x
  3. Step 3: Cross multiply
    71,127x = 164,239.88 × 164,239.88
  4. Step 4: Simplify right side
    71,127x = 26,974,736,540.02
  5. Step 5: Solve for x
    x = 26,974,736,540.02/71,127
  6. Step 6: Final answer
    x = 379,247.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.