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Finding the Third Proportional to 75,160.50 and 156,540

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Solution

The third proportional to 75,160.50 and 156,540 is: 326,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,160.50 : 156,540 = 156,540 : x
  2. Step 2: Convert to fraction form
    75,160.50/156,540 = 156,540/x
  3. Step 3: Cross multiply
    75,160.50x = 156,540 × 156,540
  4. Step 4: Simplify right side
    75,160.50x = 24,504,771,600
  5. Step 5: Solve for x
    x = 24,504,771,600/75,160.50
  6. Step 6: Final answer
    x = 326,032.58

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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.