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Finding the Third Proportional to 68,077.13 and 148,152.38

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Solution

The third proportional to 68,077.13 and 148,152.38 is: 322,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.13 : 148,152.38 = 148,152.38 : x
  2. Step 2: Convert to fraction form
    68,077.13/148,152.38 = 148,152.38/x
  3. Step 3: Cross multiply
    68,077.13x = 148,152.38 × 148,152.38
  4. Step 4: Simplify right side
    68,077.13x = 21,949,126,218.14
  5. Step 5: Solve for x
    x = 21,949,126,218.14/68,077.13
  6. Step 6: Final answer
    x = 322,415.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.