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Finding the Third Proportional to 96,132 and 205,548

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Solution

The third proportional to 96,132 and 205,548 is: 439,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,132 : 205,548 = 205,548 : x
  2. Step 2: Convert to fraction form
    96,132/205,548 = 205,548/x
  3. Step 3: Cross multiply
    96,132x = 205,548 × 205,548
  4. Step 4: Simplify right side
    96,132x = 42,249,980,304
  5. Step 5: Solve for x
    x = 42,249,980,304/96,132
  6. Step 6: Final answer
    x = 439,499.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.