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Finding the Third Proportional to 75,416 and 156,959

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Solution

The third proportional to 75,416 and 156,959 is: 326,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,416 : 156,959 = 156,959 : x
  2. Step 2: Convert to fraction form
    75,416/156,959 = 156,959/x
  3. Step 3: Cross multiply
    75,416x = 156,959 × 156,959
  4. Step 4: Simplify right side
    75,416x = 24,636,127,681
  5. Step 5: Solve for x
    x = 24,636,127,681/75,416
  6. Step 6: Final answer
    x = 326,669.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.