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Finding the Third Proportional to 72,762 and 158,480

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Solution

The third proportional to 72,762 and 158,480 is: 345,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762 : 158,480 = 158,480 : x
  2. Step 2: Convert to fraction form
    72,762/158,480 = 158,480/x
  3. Step 3: Cross multiply
    72,762x = 158,480 × 158,480
  4. Step 4: Simplify right side
    72,762x = 25,115,910,400
  5. Step 5: Solve for x
    x = 25,115,910,400/72,762
  6. Step 6: Final answer
    x = 345,178.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.