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Finding the Third Proportional to 63,828 and 97,470

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Solution

The third proportional to 63,828 and 97,470 is: 148,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 97,470 = 97,470 : x
  2. Step 2: Convert to fraction form
    63,828/97,470 = 97,470/x
  3. Step 3: Cross multiply
    63,828x = 97,470 × 97,470
  4. Step 4: Simplify right side
    63,828x = 9,500,400,900
  5. Step 5: Solve for x
    x = 9,500,400,900/63,828
  6. Step 6: Final answer
    x = 148,843.78

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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.