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Finding the Third Proportional to 116,867.81 and 155,975.63

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Solution

The third proportional to 116,867.81 and 155,975.63 is: 208,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,867.81 : 155,975.63 = 155,975.63 : x
  2. Step 2: Convert to fraction form
    116,867.81/155,975.63 = 155,975.63/x
  3. Step 3: Cross multiply
    116,867.81x = 155,975.63 × 155,975.63
  4. Step 4: Simplify right side
    116,867.81x = 24,328,395,594.14
  5. Step 5: Solve for x
    x = 24,328,395,594.14/116,867.81
  6. Step 6: Final answer
    x = 208,170.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.