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Finding the Third Proportional to 71,320 and 113,032

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Solution

The third proportional to 71,320 and 113,032 is: 179,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,320 : 113,032 = 113,032 : x
  2. Step 2: Convert to fraction form
    71,320/113,032 = 113,032/x
  3. Step 3: Cross multiply
    71,320x = 113,032 × 113,032
  4. Step 4: Simplify right side
    71,320x = 12,776,233,024
  5. Step 5: Solve for x
    x = 12,776,233,024/71,320
  6. Step 6: Final answer
    x = 179,139.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.