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Finding the Third Proportional to 70,115.44 and 108,774.38

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Solution

The third proportional to 70,115.44 and 108,774.38 is: 168,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.44 : 108,774.38 = 108,774.38 : x
  2. Step 2: Convert to fraction form
    70,115.44/108,774.38 = 108,774.38/x
  3. Step 3: Cross multiply
    70,115.44x = 108,774.38 × 108,774.38
  4. Step 4: Simplify right side
    70,115.44x = 11,831,864,656.64
  5. Step 5: Solve for x
    x = 11,831,864,656.64/70,115.44
  6. Step 6: Final answer
    x = 168,748.35

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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.