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Finding the Third Proportional to 85,723.31 and 185,748.19

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Solution

The third proportional to 85,723.31 and 185,748.19 is: 402,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,723.31 : 185,748.19 = 185,748.19 : x
  2. Step 2: Convert to fraction form
    85,723.31/185,748.19 = 185,748.19/x
  3. Step 3: Cross multiply
    85,723.31x = 185,748.19 × 185,748.19
  4. Step 4: Simplify right side
    85,723.31x = 34,502,389,159.54
  5. Step 5: Solve for x
    x = 34,502,389,159.54/85,723.31
  6. Step 6: Final answer
    x = 402,485.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.