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Finding the Third Proportional to 64,468.13 and 140,029.13

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Solution

The third proportional to 64,468.13 and 140,029.13 is: 304,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,468.13 : 140,029.13 = 140,029.13 : x
  2. Step 2: Convert to fraction form
    64,468.13/140,029.13 = 140,029.13/x
  3. Step 3: Cross multiply
    64,468.13x = 140,029.13 × 140,029.13
  4. Step 4: Simplify right side
    64,468.13x = 19,608,155,848.27
  5. Step 5: Solve for x
    x = 19,608,155,848.27/64,468.13
  6. Step 6: Final answer
    x = 304,152.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.