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Finding the Third Proportional to 85,858.31 and 126,304.31

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Solution

The third proportional to 85,858.31 and 126,304.31 is: 185,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,858.31 : 126,304.31 = 126,304.31 : x
  2. Step 2: Convert to fraction form
    85,858.31/126,304.31 = 126,304.31/x
  3. Step 3: Cross multiply
    85,858.31x = 126,304.31 × 126,304.31
  4. Step 4: Simplify right side
    85,858.31x = 15,952,779,356.10
  5. Step 5: Solve for x
    x = 15,952,779,356.10/85,858.31
  6. Step 6: Final answer
    x = 185,803.55

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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.