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Finding the Third Proportional to 65,203.88 and 142,876.13

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Solution

The third proportional to 65,203.88 and 142,876.13 is: 313,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.88 : 142,876.13 = 142,876.13 : x
  2. Step 2: Convert to fraction form
    65,203.88/142,876.13 = 142,876.13/x
  3. Step 3: Cross multiply
    65,203.88x = 142,876.13 × 142,876.13
  4. Step 4: Simplify right side
    65,203.88x = 20,413,587,095.02
  5. Step 5: Solve for x
    x = 20,413,587,095.02/65,203.88
  6. Step 6: Final answer
    x = 313,073.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.