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Finding the Third Proportional to 63,510 and 97,287

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Solution

The third proportional to 63,510 and 97,287 is: 149,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,510 : 97,287 = 97,287 : x
  2. Step 2: Convert to fraction form
    63,510/97,287 = 97,287/x
  3. Step 3: Cross multiply
    63,510x = 97,287 × 97,287
  4. Step 4: Simplify right side
    63,510x = 9,464,760,369
  5. Step 5: Solve for x
    x = 9,464,760,369/63,510
  6. Step 6: Final answer
    x = 149,027.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.