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Finding the Third Proportional to 64,851.38 and 100,154.25

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Solution

The third proportional to 64,851.38 and 100,154.25 is: 154,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,851.38 : 100,154.25 = 100,154.25 : x
  2. Step 2: Convert to fraction form
    64,851.38/100,154.25 = 100,154.25/x
  3. Step 3: Cross multiply
    64,851.38x = 100,154.25 × 100,154.25
  4. Step 4: Simplify right side
    64,851.38x = 10,030,873,793.06
  5. Step 5: Solve for x
    x = 10,030,873,793.06/64,851.38
  6. Step 6: Final answer
    x = 154,674.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.