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Finding the Third Proportional to 67,770 and 104,932.13

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Solution

The third proportional to 67,770 and 104,932.13 is: 162,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,770 : 104,932.13 = 104,932.13 : x
  2. Step 2: Convert to fraction form
    67,770/104,932.13 = 104,932.13/x
  3. Step 3: Cross multiply
    67,770x = 104,932.13 × 104,932.13
  4. Step 4: Simplify right side
    67,770x = 11,010,750,857.02
  5. Step 5: Solve for x
    x = 11,010,750,857.02/67,770
  6. Step 6: Final answer
    x = 162,472.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.