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Finding the Third Proportional to 85,870.50 and 126,321

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Solution

The third proportional to 85,870.50 and 126,321 is: 185,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.50 : 126,321 = 126,321 : x
  2. Step 2: Convert to fraction form
    85,870.50/126,321 = 126,321/x
  3. Step 3: Cross multiply
    85,870.50x = 126,321 × 126,321
  4. Step 4: Simplify right side
    85,870.50x = 15,956,995,041
  5. Step 5: Solve for x
    x = 15,956,995,041/85,870.50
  6. Step 6: Final answer
    x = 185,826.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.