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Finding the Third Proportional to 60,480.75 and 96,083.63

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Solution

The third proportional to 60,480.75 and 96,083.63 is: 152,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,480.75 : 96,083.63 = 96,083.63 : x
  2. Step 2: Convert to fraction form
    60,480.75/96,083.63 = 96,083.63/x
  3. Step 3: Cross multiply
    60,480.75x = 96,083.63 × 96,083.63
  4. Step 4: Simplify right side
    60,480.75x = 9,232,062,993.14
  5. Step 5: Solve for x
    x = 9,232,062,993.14/60,480.75
  6. Step 6: Final answer
    x = 152,644.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.