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Finding the Third Proportional to 101,432.75 and 157,890

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Solution

The third proportional to 101,432.75 and 157,890 is: 245,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.75 : 157,890 = 157,890 : x
  2. Step 2: Convert to fraction form
    101,432.75/157,890 = 157,890/x
  3. Step 3: Cross multiply
    101,432.75x = 157,890 × 157,890
  4. Step 4: Simplify right side
    101,432.75x = 24,929,252,100
  5. Step 5: Solve for x
    x = 24,929,252,100/101,432.75
  6. Step 6: Final answer
    x = 245,771.23

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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.