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Finding the Third Proportional to 58,314 and 91,676

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Solution

The third proportional to 58,314 and 91,676 is: 144,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,314 : 91,676 = 91,676 : x
  2. Step 2: Convert to fraction form
    58,314/91,676 = 91,676/x
  3. Step 3: Cross multiply
    58,314x = 91,676 × 91,676
  4. Step 4: Simplify right side
    58,314x = 8,404,488,976
  5. Step 5: Solve for x
    x = 8,404,488,976/58,314
  6. Step 6: Final answer
    x = 144,124.72

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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.