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Finding the Third Proportional to 60,004.13 and 138,913.88

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Solution

The third proportional to 60,004.13 and 138,913.88 is: 321,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,004.13 : 138,913.88 = 138,913.88 : x
  2. Step 2: Convert to fraction form
    60,004.13/138,913.88 = 138,913.88/x
  3. Step 3: Cross multiply
    60,004.13x = 138,913.88 × 138,913.88
  4. Step 4: Simplify right side
    60,004.13x = 19,297,064,667.52
  5. Step 5: Solve for x
    x = 19,297,064,667.52/60,004.13
  6. Step 6: Final answer
    x = 321,595.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.