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Finding the Third Proportional to 70,854.75 and 108,165.38

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Solution

The third proportional to 70,854.75 and 108,165.38 is: 165,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.75 : 108,165.38 = 108,165.38 : x
  2. Step 2: Convert to fraction form
    70,854.75/108,165.38 = 108,165.38/x
  3. Step 3: Cross multiply
    70,854.75x = 108,165.38 × 108,165.38
  4. Step 4: Simplify right side
    70,854.75x = 11,699,748,348.89
  5. Step 5: Solve for x
    x = 11,699,748,348.89/70,854.75
  6. Step 6: Final answer
    x = 165,122.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.