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Finding the Third Proportional to 65,445 and 135,747

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Solution

The third proportional to 65,445 and 135,747 is: 281,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,445 : 135,747 = 135,747 : x
  2. Step 2: Convert to fraction form
    65,445/135,747 = 135,747/x
  3. Step 3: Cross multiply
    65,445x = 135,747 × 135,747
  4. Step 4: Simplify right side
    65,445x = 18,427,248,009
  5. Step 5: Solve for x
    x = 18,427,248,009/65,445
  6. Step 6: Final answer
    x = 281,568.46

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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.