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Finding the Third Proportional to 77,162.34 and 115,948.97

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Solution

The third proportional to 77,162.34 and 115,948.97 is: 174,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162.34 : 115,948.97 = 115,948.97 : x
  2. Step 2: Convert to fraction form
    77,162.34/115,948.97 = 115,948.97/x
  3. Step 3: Cross multiply
    77,162.34x = 115,948.97 × 115,948.97
  4. Step 4: Simplify right side
    77,162.34x = 13,444,163,354.19
  5. Step 5: Solve for x
    x = 13,444,163,354.19/77,162.34
  6. Step 6: Final answer
    x = 174,232.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.