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Finding the Third Proportional to 121,095 and 247,117.50

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Solution

The third proportional to 121,095 and 247,117.50 is: 504,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,095 : 247,117.50 = 247,117.50 : x
  2. Step 2: Convert to fraction form
    121,095/247,117.50 = 247,117.50/x
  3. Step 3: Cross multiply
    121,095x = 247,117.50 × 247,117.50
  4. Step 4: Simplify right side
    121,095x = 61,067,058,806.25
  5. Step 5: Solve for x
    x = 61,067,058,806.25/121,095
  6. Step 6: Final answer
    x = 504,290.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.