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Finding the Third Proportional to 121,492 and 262,952

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Solution

The third proportional to 121,492 and 262,952 is: 569,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,492 : 262,952 = 262,952 : x
  2. Step 2: Convert to fraction form
    121,492/262,952 = 262,952/x
  3. Step 3: Cross multiply
    121,492x = 262,952 × 262,952
  4. Step 4: Simplify right side
    121,492x = 69,143,754,304
  5. Step 5: Solve for x
    x = 69,143,754,304/121,492
  6. Step 6: Final answer
    x = 569,121.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.