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Finding the Third Proportional to 96,777 and 152,077

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Solution

The third proportional to 96,777 and 152,077 is: 238,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,777 : 152,077 = 152,077 : x
  2. Step 2: Convert to fraction form
    96,777/152,077 = 152,077/x
  3. Step 3: Cross multiply
    96,777x = 152,077 × 152,077
  4. Step 4: Simplify right side
    96,777x = 23,127,413,929
  5. Step 5: Solve for x
    x = 23,127,413,929/96,777
  6. Step 6: Final answer
    x = 238,976.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.