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Finding the Third Proportional to 32,479 and 70,139

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Solution

The third proportional to 32,479 and 70,139 is: 151,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,479 : 70,139 = 70,139 : x
  2. Step 2: Convert to fraction form
    32,479/70,139 = 70,139/x
  3. Step 3: Cross multiply
    32,479x = 70,139 × 70,139
  4. Step 4: Simplify right side
    32,479x = 4,919,479,321
  5. Step 5: Solve for x
    x = 4,919,479,321/32,479
  6. Step 6: Final answer
    x = 151,466.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.