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Finding the Third Proportional to 58,311 and 91,671

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Solution

The third proportional to 58,311 and 91,671 is: 144,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,311 : 91,671 = 91,671 : x
  2. Step 2: Convert to fraction form
    58,311/91,671 = 91,671/x
  3. Step 3: Cross multiply
    58,311x = 91,671 × 91,671
  4. Step 4: Simplify right side
    58,311x = 8,403,572,241
  5. Step 5: Solve for x
    x = 8,403,572,241/58,311
  6. Step 6: Final answer
    x = 144,116.41

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Why These Related Problems?

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