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Finding the Third Proportional to 78,595.31 and 169,697.53

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Solution

The third proportional to 78,595.31 and 169,697.53 is: 366,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,595.31 : 169,697.53 = 169,697.53 : x
  2. Step 2: Convert to fraction form
    78,595.31/169,697.53 = 169,697.53/x
  3. Step 3: Cross multiply
    78,595.31x = 169,697.53 × 169,697.53
  4. Step 4: Simplify right side
    78,595.31x = 28,797,252,112.34
  5. Step 5: Solve for x
    x = 28,797,252,112.34/78,595.31
  6. Step 6: Final answer
    x = 366,399.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.