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Finding the Third Proportional to 108,447 and 162,048

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Solution

The third proportional to 108,447 and 162,048 is: 242,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,447 : 162,048 = 162,048 : x
  2. Step 2: Convert to fraction form
    108,447/162,048 = 162,048/x
  3. Step 3: Cross multiply
    108,447x = 162,048 × 162,048
  4. Step 4: Simplify right side
    108,447x = 26,259,554,304
  5. Step 5: Solve for x
    x = 26,259,554,304/108,447
  6. Step 6: Final answer
    x = 242,141.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.