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Finding the Third Proportional to 116,659.13 and 185,715

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Solution

The third proportional to 116,659.13 and 185,715 is: 295,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,659.13 : 185,715 = 185,715 : x
  2. Step 2: Convert to fraction form
    116,659.13/185,715 = 185,715/x
  3. Step 3: Cross multiply
    116,659.13x = 185,715 × 185,715
  4. Step 4: Simplify right side
    116,659.13x = 34,490,061,225
  5. Step 5: Solve for x
    x = 34,490,061,225/116,659.13
  6. Step 6: Final answer
    x = 295,648.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.