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Finding the Third Proportional to 117,076 and 251,909

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Solution

The third proportional to 117,076 and 251,909 is: 542,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,076 : 251,909 = 251,909 : x
  2. Step 2: Convert to fraction form
    117,076/251,909 = 251,909/x
  3. Step 3: Cross multiply
    117,076x = 251,909 × 251,909
  4. Step 4: Simplify right side
    117,076x = 63,458,144,281
  5. Step 5: Solve for x
    x = 63,458,144,281/117,076
  6. Step 6: Final answer
    x = 542,025.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.