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Finding the Third Proportional to 121,038 and 256,473.75

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Solution

The third proportional to 121,038 and 256,473.75 is: 543,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,038 : 256,473.75 = 256,473.75 : x
  2. Step 2: Convert to fraction form
    121,038/256,473.75 = 256,473.75/x
  3. Step 3: Cross multiply
    121,038x = 256,473.75 × 256,473.75
  4. Step 4: Simplify right side
    121,038x = 65,778,784,439.06
  5. Step 5: Solve for x
    x = 65,778,784,439.06/121,038
  6. Step 6: Final answer
    x = 543,455.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.