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Finding the Third Proportional to 105,034 and 157,629

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Solution

The third proportional to 105,034 and 157,629 is: 236,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,034 : 157,629 = 157,629 : x
  2. Step 2: Convert to fraction form
    105,034/157,629 = 157,629/x
  3. Step 3: Cross multiply
    105,034x = 157,629 × 157,629
  4. Step 4: Simplify right side
    105,034x = 24,846,901,641
  5. Step 5: Solve for x
    x = 24,846,901,641/105,034
  6. Step 6: Final answer
    x = 236,560.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.