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Finding the Third Proportional to 121,023 and 181,975.50

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Solution

The third proportional to 121,023 and 181,975.50 is: 273,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,023 : 181,975.50 = 181,975.50 : x
  2. Step 2: Convert to fraction form
    121,023/181,975.50 = 181,975.50/x
  3. Step 3: Cross multiply
    121,023x = 181,975.50 × 181,975.50
  4. Step 4: Simplify right side
    121,023x = 33,115,082,600.25
  5. Step 5: Solve for x
    x = 33,115,082,600.25/121,023
  6. Step 6: Final answer
    x = 273,626.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.