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Finding the Third Proportional to 70,252.31 and 107,127.56

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Solution

The third proportional to 70,252.31 and 107,127.56 is: 163,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,252.31 : 107,127.56 = 107,127.56 : x
  2. Step 2: Convert to fraction form
    70,252.31/107,127.56 = 107,127.56/x
  3. Step 3: Cross multiply
    70,252.31x = 107,127.56 × 107,127.56
  4. Step 4: Simplify right side
    70,252.31x = 11,476,314,647.19
  5. Step 5: Solve for x
    x = 11,476,314,647.19/70,252.31
  6. Step 6: Final answer
    x = 163,358.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.