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Finding the Third Proportional to 78,070.88 and 167,982

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Solution

The third proportional to 78,070.88 and 167,982 is: 361,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,070.88 : 167,982 = 167,982 : x
  2. Step 2: Convert to fraction form
    78,070.88/167,982 = 167,982/x
  3. Step 3: Cross multiply
    78,070.88x = 167,982 × 167,982
  4. Step 4: Simplify right side
    78,070.88x = 28,217,952,324
  5. Step 5: Solve for x
    x = 28,217,952,324/78,070.88
  6. Step 6: Final answer
    x = 361,440.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.