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Finding the Third Proportional to 58,902 and 91,002

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Solution

The third proportional to 58,902 and 91,002 is: 140,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,902 : 91,002 = 91,002 : x
  2. Step 2: Convert to fraction form
    58,902/91,002 = 91,002/x
  3. Step 3: Cross multiply
    58,902x = 91,002 × 91,002
  4. Step 4: Simplify right side
    58,902x = 8,281,364,004
  5. Step 5: Solve for x
    x = 8,281,364,004/58,902
  6. Step 6: Final answer
    x = 140,595.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.