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Finding the Third Proportional to 100,772 and 153,570

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Solution

The third proportional to 100,772 and 153,570 is: 234,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,772 : 153,570 = 153,570 : x
  2. Step 2: Convert to fraction form
    100,772/153,570 = 153,570/x
  3. Step 3: Cross multiply
    100,772x = 153,570 × 153,570
  4. Step 4: Simplify right side
    100,772x = 23,583,744,900
  5. Step 5: Solve for x
    x = 23,583,744,900/100,772
  6. Step 6: Final answer
    x = 234,030.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.