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Finding the Third Proportional to 121,060 and 265,084

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Solution

The third proportional to 121,060 and 265,084 is: 580,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,060 : 265,084 = 265,084 : x
  2. Step 2: Convert to fraction form
    121,060/265,084 = 265,084/x
  3. Step 3: Cross multiply
    121,060x = 265,084 × 265,084
  4. Step 4: Simplify right side
    121,060x = 70,269,527,056
  5. Step 5: Solve for x
    x = 70,269,527,056/121,060
  6. Step 6: Final answer
    x = 580,452.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.