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Finding the Third Proportional to 96,064 and 154,348

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Solution

The third proportional to 96,064 and 154,348 is: 247,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,064 : 154,348 = 154,348 : x
  2. Step 2: Convert to fraction form
    96,064/154,348 = 154,348/x
  3. Step 3: Cross multiply
    96,064x = 154,348 × 154,348
  4. Step 4: Simplify right side
    96,064x = 23,823,305,104
  5. Step 5: Solve for x
    x = 23,823,305,104/96,064
  6. Step 6: Final answer
    x = 247,994.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.