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Finding the Third Proportional to 70,652 and 99,019

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Solution

The third proportional to 70,652 and 99,019 is: 138,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652 : 99,019 = 99,019 : x
  2. Step 2: Convert to fraction form
    70,652/99,019 = 99,019/x
  3. Step 3: Cross multiply
    70,652x = 99,019 × 99,019
  4. Step 4: Simplify right side
    70,652x = 9,804,762,361
  5. Step 5: Solve for x
    x = 9,804,762,361/70,652
  6. Step 6: Final answer
    x = 138,775.44

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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.