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Finding the Third Proportional to 63,644 and 96,270

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Solution

The third proportional to 63,644 and 96,270 is: 145,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,644 : 96,270 = 96,270 : x
  2. Step 2: Convert to fraction form
    63,644/96,270 = 96,270/x
  3. Step 3: Cross multiply
    63,644x = 96,270 × 96,270
  4. Step 4: Simplify right side
    63,644x = 9,267,912,900
  5. Step 5: Solve for x
    x = 9,267,912,900/63,644
  6. Step 6: Final answer
    x = 145,621.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.