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Finding the Third Proportional to 63,469 and 97,235

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Solution

The third proportional to 63,469 and 97,235 is: 148,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,469 : 97,235 = 97,235 : x
  2. Step 2: Convert to fraction form
    63,469/97,235 = 97,235/x
  3. Step 3: Cross multiply
    63,469x = 97,235 × 97,235
  4. Step 4: Simplify right side
    63,469x = 9,454,645,225
  5. Step 5: Solve for x
    x = 9,454,645,225/63,469
  6. Step 6: Final answer
    x = 148,964.77

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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.