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Finding the Third Proportional to 121,494 and 255,272

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Solution

The third proportional to 121,494 and 255,272 is: 536,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,494 : 255,272 = 255,272 : x
  2. Step 2: Convert to fraction form
    121,494/255,272 = 255,272/x
  3. Step 3: Cross multiply
    121,494x = 255,272 × 255,272
  4. Step 4: Simplify right side
    121,494x = 65,163,793,984
  5. Step 5: Solve for x
    x = 65,163,793,984/121,494
  6. Step 6: Final answer
    x = 536,354.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.