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Finding the Third Proportional to 58,404 and 91,515

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Solution

The third proportional to 58,404 and 91,515 is: 143,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,404 : 91,515 = 91,515 : x
  2. Step 2: Convert to fraction form
    58,404/91,515 = 91,515/x
  3. Step 3: Cross multiply
    58,404x = 91,515 × 91,515
  4. Step 4: Simplify right side
    58,404x = 8,374,995,225
  5. Step 5: Solve for x
    x = 8,374,995,225/58,404
  6. Step 6: Final answer
    x = 143,397.63

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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.