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Finding the Third Proportional to 101,594.81 and 158,209.03

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Solution

The third proportional to 101,594.81 and 158,209.03 is: 246,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.81 : 158,209.03 = 158,209.03 : x
  2. Step 2: Convert to fraction form
    101,594.81/158,209.03 = 158,209.03/x
  3. Step 3: Cross multiply
    101,594.81x = 158,209.03 × 158,209.03
  4. Step 4: Simplify right side
    101,594.81x = 25,030,097,569.06
  5. Step 5: Solve for x
    x = 25,030,097,569.06/101,594.81
  6. Step 6: Final answer
    x = 246,371.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.