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Finding the Third Proportional to 85,883.41 and 126,259.38

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Solution

The third proportional to 85,883.41 and 126,259.38 is: 185,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,883.41 : 126,259.38 = 126,259.38 : x
  2. Step 2: Convert to fraction form
    85,883.41/126,259.38 = 126,259.38/x
  3. Step 3: Cross multiply
    85,883.41x = 126,259.38 × 126,259.38
  4. Step 4: Simplify right side
    85,883.41x = 15,941,431,748.19
  5. Step 5: Solve for x
    x = 15,941,431,748.19/85,883.41
  6. Step 6: Final answer
    x = 185,617.12

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Why These Related Problems?

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