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Finding the Third Proportional to 70,442 and 104,499

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Solution

The third proportional to 70,442 and 104,499 is: 155,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,442 : 104,499 = 104,499 : x
  2. Step 2: Convert to fraction form
    70,442/104,499 = 104,499/x
  3. Step 3: Cross multiply
    70,442x = 104,499 × 104,499
  4. Step 4: Simplify right side
    70,442x = 10,920,041,001
  5. Step 5: Solve for x
    x = 10,920,041,001/70,442
  6. Step 6: Final answer
    x = 155,021.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.