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Finding the Third Proportional to 121,417.50 and 248,847

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Solution

The third proportional to 121,417.50 and 248,847 is: 510,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,417.50 : 248,847 = 248,847 : x
  2. Step 2: Convert to fraction form
    121,417.50/248,847 = 248,847/x
  3. Step 3: Cross multiply
    121,417.50x = 248,847 × 248,847
  4. Step 4: Simplify right side
    121,417.50x = 61,924,829,409
  5. Step 5: Solve for x
    x = 61,924,829,409/121,417.50
  6. Step 6: Final answer
    x = 510,015.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.