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Finding the Third Proportional to 70,499 and 144,437

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Solution

The third proportional to 70,499 and 144,437 is: 295,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,499 : 144,437 = 144,437 : x
  2. Step 2: Convert to fraction form
    70,499/144,437 = 144,437/x
  3. Step 3: Cross multiply
    70,499x = 144,437 × 144,437
  4. Step 4: Simplify right side
    70,499x = 20,862,046,969
  5. Step 5: Solve for x
    x = 20,862,046,969/70,499
  6. Step 6: Final answer
    x = 295,919.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.