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Finding the Third Proportional to 119,496.50 and 183,422.75

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Solution

The third proportional to 119,496.50 and 183,422.75 is: 281,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,496.50 : 183,422.75 = 183,422.75 : x
  2. Step 2: Convert to fraction form
    119,496.50/183,422.75 = 183,422.75/x
  3. Step 3: Cross multiply
    119,496.50x = 183,422.75 × 183,422.75
  4. Step 4: Simplify right side
    119,496.50x = 33,643,905,217.56
  5. Step 5: Solve for x
    x = 33,643,905,217.56/119,496.50
  6. Step 6: Final answer
    x = 281,547.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.