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Finding the Third Proportional to 70,532 and 108,034

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Solution

The third proportional to 70,532 and 108,034 is: 165,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,532 : 108,034 = 108,034 : x
  2. Step 2: Convert to fraction form
    70,532/108,034 = 108,034/x
  3. Step 3: Cross multiply
    70,532x = 108,034 × 108,034
  4. Step 4: Simplify right side
    70,532x = 11,671,345,156
  5. Step 5: Solve for x
    x = 11,671,345,156/70,532
  6. Step 6: Final answer
    x = 165,475.89

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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.