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Finding the Third Proportional to 63,582.75 and 96,194.25

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Solution

The third proportional to 63,582.75 and 96,194.25 is: 145,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,582.75 : 96,194.25 = 96,194.25 : x
  2. Step 2: Convert to fraction form
    63,582.75/96,194.25 = 96,194.25/x
  3. Step 3: Cross multiply
    63,582.75x = 96,194.25 × 96,194.25
  4. Step 4: Simplify right side
    63,582.75x = 9,253,333,733.06
  5. Step 5: Solve for x
    x = 9,253,333,733.06/63,582.75
  6. Step 6: Final answer
    x = 145,532.14

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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.