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Finding the Third Proportional to 100,756 and 157,260

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Solution

The third proportional to 100,756 and 157,260 is: 245,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,756 : 157,260 = 157,260 : x
  2. Step 2: Convert to fraction form
    100,756/157,260 = 157,260/x
  3. Step 3: Cross multiply
    100,756x = 157,260 × 157,260
  4. Step 4: Simplify right side
    100,756x = 24,730,707,600
  5. Step 5: Solve for x
    x = 24,730,707,600/100,756
  6. Step 6: Final answer
    x = 245,451.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.