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Finding the Third Proportional to 73,613.81 and 110,975.06

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Solution

The third proportional to 73,613.81 and 110,975.06 is: 167,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,613.81 : 110,975.06 = 110,975.06 : x
  2. Step 2: Convert to fraction form
    73,613.81/110,975.06 = 110,975.06/x
  3. Step 3: Cross multiply
    73,613.81x = 110,975.06 × 110,975.06
  4. Step 4: Simplify right side
    73,613.81x = 12,315,464,496.88
  5. Step 5: Solve for x
    x = 12,315,464,496.88/73,613.81
  6. Step 6: Final answer
    x = 167,298.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.