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Finding the Third Proportional to 96,077 and 153,484

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Solution

The third proportional to 96,077 and 153,484 is: 245,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,077 : 153,484 = 153,484 : x
  2. Step 2: Convert to fraction form
    96,077/153,484 = 153,484/x
  3. Step 3: Cross multiply
    96,077x = 153,484 × 153,484
  4. Step 4: Simplify right side
    96,077x = 23,557,338,256
  5. Step 5: Solve for x
    x = 23,557,338,256/96,077
  6. Step 6: Final answer
    x = 245,192.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.