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Finding the Third Proportional to 42,510.75 and 93,321.38

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Solution

The third proportional to 42,510.75 and 93,321.38 is: 204,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,510.75 : 93,321.38 = 93,321.38 : x
  2. Step 2: Convert to fraction form
    42,510.75/93,321.38 = 93,321.38/x
  3. Step 3: Cross multiply
    42,510.75x = 93,321.38 × 93,321.38
  4. Step 4: Simplify right side
    42,510.75x = 8,708,879,031.89
  5. Step 5: Solve for x
    x = 8,708,879,031.89/42,510.75
  6. Step 6: Final answer
    x = 204,862.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.