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Finding the Third Proportional to 58,795 and 91,065

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Solution

The third proportional to 58,795 and 91,065 is: 141,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,795 : 91,065 = 91,065 : x
  2. Step 2: Convert to fraction form
    58,795/91,065 = 91,065/x
  3. Step 3: Cross multiply
    58,795x = 91,065 × 91,065
  4. Step 4: Simplify right side
    58,795x = 8,292,834,225
  5. Step 5: Solve for x
    x = 8,292,834,225/58,795
  6. Step 6: Final answer
    x = 141,046.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.