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Finding the Third Proportional to 76,600.13 and 163,722.38

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Solution

The third proportional to 76,600.13 and 163,722.38 is: 349,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,600.13 : 163,722.38 = 163,722.38 : x
  2. Step 2: Convert to fraction form
    76,600.13/163,722.38 = 163,722.38/x
  3. Step 3: Cross multiply
    76,600.13x = 163,722.38 × 163,722.38
  4. Step 4: Simplify right side
    76,600.13x = 26,805,016,075.64
  5. Step 5: Solve for x
    x = 26,805,016,075.64/76,600.13
  6. Step 6: Final answer
    x = 349,934.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.