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Finding the Third Proportional to 58,422 and 91,526

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Solution

The third proportional to 58,422 and 91,526 is: 143,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,422 : 91,526 = 91,526 : x
  2. Step 2: Convert to fraction form
    58,422/91,526 = 91,526/x
  3. Step 3: Cross multiply
    58,422x = 91,526 × 91,526
  4. Step 4: Simplify right side
    58,422x = 8,377,008,676
  5. Step 5: Solve for x
    x = 8,377,008,676/58,422
  6. Step 6: Final answer
    x = 143,387.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.