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Finding the Third Proportional to 70,345 and 100,767

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Solution

The third proportional to 70,345 and 100,767 is: 144,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,345 : 100,767 = 100,767 : x
  2. Step 2: Convert to fraction form
    70,345/100,767 = 100,767/x
  3. Step 3: Cross multiply
    70,345x = 100,767 × 100,767
  4. Step 4: Simplify right side
    70,345x = 10,153,988,289
  5. Step 5: Solve for x
    x = 10,153,988,289/70,345
  6. Step 6: Final answer
    x = 144,345.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.