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Finding the Third Proportional to 75,430 and 156,987

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Solution

The third proportional to 75,430 and 156,987 is: 326,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,430 : 156,987 = 156,987 : x
  2. Step 2: Convert to fraction form
    75,430/156,987 = 156,987/x
  3. Step 3: Cross multiply
    75,430x = 156,987 × 156,987
  4. Step 4: Simplify right side
    75,430x = 24,644,918,169
  5. Step 5: Solve for x
    x = 24,644,918,169/75,430
  6. Step 6: Final answer
    x = 326,725.68

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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.