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Finding the Third Proportional to 100,769.25 and 157,281

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Solution

The third proportional to 100,769.25 and 157,281 is: 245,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,769.25 : 157,281 = 157,281 : x
  2. Step 2: Convert to fraction form
    100,769.25/157,281 = 157,281/x
  3. Step 3: Cross multiply
    100,769.25x = 157,281 × 157,281
  4. Step 4: Simplify right side
    100,769.25x = 24,737,312,961
  5. Step 5: Solve for x
    x = 24,737,312,961/100,769.25
  6. Step 6: Final answer
    x = 245,484.74

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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.