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Finding the Third Proportional to 121,612 and 265,580

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Solution

The third proportional to 121,612 and 265,580 is: 579,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,612 : 265,580 = 265,580 : x
  2. Step 2: Convert to fraction form
    121,612/265,580 = 265,580/x
  3. Step 3: Cross multiply
    121,612x = 265,580 × 265,580
  4. Step 4: Simplify right side
    121,612x = 70,532,736,400
  5. Step 5: Solve for x
    x = 70,532,736,400/121,612
  6. Step 6: Final answer
    x = 579,981.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.