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Finding the Third Proportional to 32,261 and 65,818

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Solution

The third proportional to 32,261 and 65,818 is: 134,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,261 : 65,818 = 65,818 : x
  2. Step 2: Convert to fraction form
    32,261/65,818 = 65,818/x
  3. Step 3: Cross multiply
    32,261x = 65,818 × 65,818
  4. Step 4: Simplify right side
    32,261x = 4,332,009,124
  5. Step 5: Solve for x
    x = 4,332,009,124/32,261
  6. Step 6: Final answer
    x = 134,280.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.