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Finding the Third Proportional to 121,119 and 265,566

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Solution

The third proportional to 121,119 and 265,566 is: 582,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,119 : 265,566 = 265,566 : x
  2. Step 2: Convert to fraction form
    121,119/265,566 = 265,566/x
  3. Step 3: Cross multiply
    121,119x = 265,566 × 265,566
  4. Step 4: Simplify right side
    121,119x = 70,525,300,356
  5. Step 5: Solve for x
    x = 70,525,300,356/121,119
  6. Step 6: Final answer
    x = 582,281.07

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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.