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Finding the Third Proportional to 58,307 and 91,665

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Solution

The third proportional to 58,307 and 91,665 is: 144,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,307 : 91,665 = 91,665 : x
  2. Step 2: Convert to fraction form
    58,307/91,665 = 91,665/x
  3. Step 3: Cross multiply
    58,307x = 91,665 × 91,665
  4. Step 4: Simplify right side
    58,307x = 8,402,472,225
  5. Step 5: Solve for x
    x = 8,402,472,225/58,307
  6. Step 6: Final answer
    x = 144,107.44

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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.