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Finding the Third Proportional to 58,902 and 89,580

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Solution

The third proportional to 58,902 and 89,580 is: 136,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,902 : 89,580 = 89,580 : x
  2. Step 2: Convert to fraction form
    58,902/89,580 = 89,580/x
  3. Step 3: Cross multiply
    58,902x = 89,580 × 89,580
  4. Step 4: Simplify right side
    58,902x = 8,024,576,400
  5. Step 5: Solve for x
    x = 8,024,576,400/58,902
  6. Step 6: Final answer
    x = 136,236.06

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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.