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Finding the Third Proportional to 70,641 and 99,003

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Solution

The third proportional to 70,641 and 99,003 is: 138,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,641 : 99,003 = 99,003 : x
  2. Step 2: Convert to fraction form
    70,641/99,003 = 99,003/x
  3. Step 3: Cross multiply
    70,641x = 99,003 × 99,003
  4. Step 4: Simplify right side
    70,641x = 9,801,594,009
  5. Step 5: Solve for x
    x = 9,801,594,009/70,641
  6. Step 6: Final answer
    x = 138,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.