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Finding the Third Proportional to 121,033.50 and 265,953.50

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Solution

The third proportional to 121,033.50 and 265,953.50 is: 584,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,033.50 : 265,953.50 = 265,953.50 : x
  2. Step 2: Convert to fraction form
    121,033.50/265,953.50 = 265,953.50/x
  3. Step 3: Cross multiply
    121,033.50x = 265,953.50 × 265,953.50
  4. Step 4: Simplify right side
    121,033.50x = 70,731,264,162.25
  5. Step 5: Solve for x
    x = 70,731,264,162.25/121,033.50
  6. Step 6: Final answer
    x = 584,394.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.