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Finding the Third Proportional to 101,432.25 and 155,570.63

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Solution

The third proportional to 101,432.25 and 155,570.63 is: 238,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.25 : 155,570.63 = 155,570.63 : x
  2. Step 2: Convert to fraction form
    101,432.25/155,570.63 = 155,570.63/x
  3. Step 3: Cross multiply
    101,432.25x = 155,570.63 × 155,570.63
  4. Step 4: Simplify right side
    101,432.25x = 24,202,219,362.89
  5. Step 5: Solve for x
    x = 24,202,219,362.89/101,432.25
  6. Step 6: Final answer
    x = 238,604.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.