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Finding the Third Proportional to 97,503.75 and 149,661.42

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Solution

The third proportional to 97,503.75 and 149,661.42 is: 229,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,503.75 : 149,661.42 = 149,661.42 : x
  2. Step 2: Convert to fraction form
    97,503.75/149,661.42 = 149,661.42/x
  3. Step 3: Cross multiply
    97,503.75x = 149,661.42 × 149,661.42
  4. Step 4: Simplify right side
    97,503.75x = 22,398,541,197.65
  5. Step 5: Solve for x
    x = 22,398,541,197.65/97,503.75
  6. Step 6: Final answer
    x = 229,719.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.