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Finding the Third Proportional to 132,738 and 205,527

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Solution

The third proportional to 132,738 and 205,527 is: 318,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,738 : 205,527 = 205,527 : x
  2. Step 2: Convert to fraction form
    132,738/205,527 = 205,527/x
  3. Step 3: Cross multiply
    132,738x = 205,527 × 205,527
  4. Step 4: Simplify right side
    132,738x = 42,241,347,729
  5. Step 5: Solve for x
    x = 42,241,347,729/132,738
  6. Step 6: Final answer
    x = 318,231.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.