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Finding the Third Proportional to 70,562 and 103,143

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Solution

The third proportional to 70,562 and 103,143 is: 150,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,562 : 103,143 = 103,143 : x
  2. Step 2: Convert to fraction form
    70,562/103,143 = 103,143/x
  3. Step 3: Cross multiply
    70,562x = 103,143 × 103,143
  4. Step 4: Simplify right side
    70,562x = 10,638,478,449
  5. Step 5: Solve for x
    x = 10,638,478,449/70,562
  6. Step 6: Final answer
    x = 150,767.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.