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Finding the Third Proportional to 42,598.83 and 66,145.78

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Solution

The third proportional to 42,598.83 and 66,145.78 is: 102,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,598.83 : 66,145.78 = 66,145.78 : x
  2. Step 2: Convert to fraction form
    42,598.83/66,145.78 = 66,145.78/x
  3. Step 3: Cross multiply
    42,598.83x = 66,145.78 × 66,145.78
  4. Step 4: Simplify right side
    42,598.83x = 4,375,264,377.17
  5. Step 5: Solve for x
    x = 4,375,264,377.17/42,598.83
  6. Step 6: Final answer
    x = 102,708.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.