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Finding the Third Proportional to 88,095.09 and 134,208.14

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Solution

The third proportional to 88,095.09 and 134,208.14 is: 204,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,095.09 : 134,208.14 = 134,208.14 : x
  2. Step 2: Convert to fraction form
    88,095.09/134,208.14 = 134,208.14/x
  3. Step 3: Cross multiply
    88,095.09x = 134,208.14 × 134,208.14
  4. Step 4: Simplify right side
    88,095.09x = 18,011,825,010.02
  5. Step 5: Solve for x
    x = 18,011,825,010.02/88,095.09
  6. Step 6: Final answer
    x = 204,458.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.