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Finding the Third Proportional to 70,107.34 and 108,762.14

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Solution

The third proportional to 70,107.34 and 108,762.14 is: 168,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,107.34 : 108,762.14 = 108,762.14 : x
  2. Step 2: Convert to fraction form
    70,107.34/108,762.14 = 108,762.14/x
  3. Step 3: Cross multiply
    70,107.34x = 108,762.14 × 108,762.14
  4. Step 4: Simplify right side
    70,107.34x = 11,829,202,436.74
  5. Step 5: Solve for x
    x = 11,829,202,436.74/70,107.34
  6. Step 6: Final answer
    x = 168,729.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.