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Finding the Third Proportional to 65,107.13 and 142,722

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Solution

The third proportional to 65,107.13 and 142,722 is: 312,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.13 : 142,722 = 142,722 : x
  2. Step 2: Convert to fraction form
    65,107.13/142,722 = 142,722/x
  3. Step 3: Cross multiply
    65,107.13x = 142,722 × 142,722
  4. Step 4: Simplify right side
    65,107.13x = 20,369,569,284
  5. Step 5: Solve for x
    x = 20,369,569,284/65,107.13
  6. Step 6: Final answer
    x = 312,862.37

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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.