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Finding the Third Proportional to 96,270 and 148,779

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Solution

The third proportional to 96,270 and 148,779 is: 229,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,270 : 148,779 = 148,779 : x
  2. Step 2: Convert to fraction form
    96,270/148,779 = 148,779/x
  3. Step 3: Cross multiply
    96,270x = 148,779 × 148,779
  4. Step 4: Simplify right side
    96,270x = 22,135,190,841
  5. Step 5: Solve for x
    x = 22,135,190,841/96,270
  6. Step 6: Final answer
    x = 229,928.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.