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Finding the Third Proportional to 37,129.50 and 79,854.25

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Solution

The third proportional to 37,129.50 and 79,854.25 is: 171,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.50 : 79,854.25 = 79,854.25 : x
  2. Step 2: Convert to fraction form
    37,129.50/79,854.25 = 79,854.25/x
  3. Step 3: Cross multiply
    37,129.50x = 79,854.25 × 79,854.25
  4. Step 4: Simplify right side
    37,129.50x = 6,376,701,243.06
  5. Step 5: Solve for x
    x = 6,376,701,243.06/37,129.50
  6. Step 6: Final answer
    x = 171,742.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.