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Finding the Third Proportional to 65,597.34 and 135,862.31

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Solution

The third proportional to 65,597.34 and 135,862.31 is: 281,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,597.34 : 135,862.31 = 135,862.31 : x
  2. Step 2: Convert to fraction form
    65,597.34/135,862.31 = 135,862.31/x
  3. Step 3: Cross multiply
    65,597.34x = 135,862.31 × 135,862.31
  4. Step 4: Simplify right side
    65,597.34x = 18,458,567,957.85
  5. Step 5: Solve for x
    x = 18,458,567,957.85/65,597.34
  6. Step 6: Final answer
    x = 281,392.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.