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Finding the Third Proportional to 58,002 and 88,219

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Solution

The third proportional to 58,002 and 88,219 is: 134,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,002 : 88,219 = 88,219 : x
  2. Step 2: Convert to fraction form
    58,002/88,219 = 88,219/x
  3. Step 3: Cross multiply
    58,002x = 88,219 × 88,219
  4. Step 4: Simplify right side
    58,002x = 7,782,591,961
  5. Step 5: Solve for x
    x = 7,782,591,961/58,002
  6. Step 6: Final answer
    x = 134,177.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.