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Finding the Third Proportional to 100,770.75 and 157,283.25

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Solution

The third proportional to 100,770.75 and 157,283.25 is: 245,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,770.75 : 157,283.25 = 157,283.25 : x
  2. Step 2: Convert to fraction form
    100,770.75/157,283.25 = 157,283.25/x
  3. Step 3: Cross multiply
    100,770.75x = 157,283.25 × 157,283.25
  4. Step 4: Simplify right side
    100,770.75x = 24,738,020,730.56
  5. Step 5: Solve for x
    x = 24,738,020,730.56/100,770.75
  6. Step 6: Final answer
    x = 245,488.11

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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.