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Finding the Third Proportional to 66,097.27 and 99,293.34

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Solution

The third proportional to 66,097.27 and 99,293.34 is: 149,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,097.27 : 99,293.34 = 99,293.34 : x
  2. Step 2: Convert to fraction form
    66,097.27/99,293.34 = 99,293.34/x
  3. Step 3: Cross multiply
    66,097.27x = 99,293.34 × 99,293.34
  4. Step 4: Simplify right side
    66,097.27x = 9,859,168,113.06
  5. Step 5: Solve for x
    x = 9,859,168,113.06/66,097.27
  6. Step 6: Final answer
    x = 149,161.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.