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Finding the Third Proportional to 45,132 and 96,669

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Solution

The third proportional to 45,132 and 96,669 is: 207,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,132 : 96,669 = 96,669 : x
  2. Step 2: Convert to fraction form
    45,132/96,669 = 96,669/x
  3. Step 3: Cross multiply
    45,132x = 96,669 × 96,669
  4. Step 4: Simplify right side
    45,132x = 9,344,895,561
  5. Step 5: Solve for x
    x = 9,344,895,561/45,132
  6. Step 6: Final answer
    x = 207,056.98

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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.