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Finding the Third Proportional to 70,606.69 and 108,164.53

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Solution

The third proportional to 70,606.69 and 108,164.53 is: 165,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,606.69 : 108,164.53 = 108,164.53 : x
  2. Step 2: Convert to fraction form
    70,606.69/108,164.53 = 108,164.53/x
  3. Step 3: Cross multiply
    70,606.69x = 108,164.53 × 108,164.53
  4. Step 4: Simplify right side
    70,606.69x = 11,699,565,820.53
  5. Step 5: Solve for x
    x = 11,699,565,820.53/70,606.69
  6. Step 6: Final answer
    x = 165,700.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.