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Finding the Third Proportional to 77,580 and 167,580

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Solution

The third proportional to 77,580 and 167,580 is: 361,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580 : 167,580 = 167,580 : x
  2. Step 2: Convert to fraction form
    77,580/167,580 = 167,580/x
  3. Step 3: Cross multiply
    77,580x = 167,580 × 167,580
  4. Step 4: Simplify right side
    77,580x = 28,083,056,400
  5. Step 5: Solve for x
    x = 28,083,056,400/77,580
  6. Step 6: Final answer
    x = 361,988.35

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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.