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Finding the Third Proportional to 75,894.19 and 163,468.69

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Solution

The third proportional to 75,894.19 and 163,468.69 is: 352,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.19 : 163,468.69 = 163,468.69 : x
  2. Step 2: Convert to fraction form
    75,894.19/163,468.69 = 163,468.69/x
  3. Step 3: Cross multiply
    75,894.19x = 163,468.69 × 163,468.69
  4. Step 4: Simplify right side
    75,894.19x = 26,722,011,792.97
  5. Step 5: Solve for x
    x = 26,722,011,792.97/75,894.19
  6. Step 6: Final answer
    x = 352,095.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.