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Finding the Third Proportional to 96,619.50 and 145,989

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Solution

The third proportional to 96,619.50 and 145,989 is: 220,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,619.50 : 145,989 = 145,989 : x
  2. Step 2: Convert to fraction form
    96,619.50/145,989 = 145,989/x
  3. Step 3: Cross multiply
    96,619.50x = 145,989 × 145,989
  4. Step 4: Simplify right side
    96,619.50x = 21,312,788,121
  5. Step 5: Solve for x
    x = 21,312,788,121/96,619.50
  6. Step 6: Final answer
    x = 220,584.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.