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Finding the Third Proportional to 63,828 and 99,265.50

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Solution

The third proportional to 63,828 and 99,265.50 is: 154,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 99,265.50 = 99,265.50 : x
  2. Step 2: Convert to fraction form
    63,828/99,265.50 = 99,265.50/x
  3. Step 3: Cross multiply
    63,828x = 99,265.50 × 99,265.50
  4. Step 4: Simplify right side
    63,828x = 9,853,639,490.25
  5. Step 5: Solve for x
    x = 9,853,639,490.25/63,828
  6. Step 6: Final answer
    x = 154,378.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.