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Finding the Third Proportional to 109,050.75 and 159,981.75

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Solution

The third proportional to 109,050.75 and 159,981.75 is: 234,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050.75 : 159,981.75 = 159,981.75 : x
  2. Step 2: Convert to fraction form
    109,050.75/159,981.75 = 159,981.75/x
  3. Step 3: Cross multiply
    109,050.75x = 159,981.75 × 159,981.75
  4. Step 4: Simplify right side
    109,050.75x = 25,594,160,333.06
  5. Step 5: Solve for x
    x = 25,594,160,333.06/109,050.75
  6. Step 6: Final answer
    x = 234,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.