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Finding the Third Proportional to 70,177.64 and 107,869.22

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Solution

The third proportional to 70,177.64 and 107,869.22 is: 165,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,177.64 : 107,869.22 = 107,869.22 : x
  2. Step 2: Convert to fraction form
    70,177.64/107,869.22 = 107,869.22/x
  3. Step 3: Cross multiply
    70,177.64x = 107,869.22 × 107,869.22
  4. Step 4: Simplify right side
    70,177.64x = 11,635,768,353.74
  5. Step 5: Solve for x
    x = 11,635,768,353.74/70,177.64
  6. Step 6: Final answer
    x = 165,804.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.