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Finding the Third Proportional to 121,442.50 and 183,858

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Solution

The third proportional to 121,442.50 and 183,858 is: 278,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,442.50 : 183,858 = 183,858 : x
  2. Step 2: Convert to fraction form
    121,442.50/183,858 = 183,858/x
  3. Step 3: Cross multiply
    121,442.50x = 183,858 × 183,858
  4. Step 4: Simplify right side
    121,442.50x = 33,803,764,164
  5. Step 5: Solve for x
    x = 33,803,764,164/121,442.50
  6. Step 6: Final answer
    x = 278,352.01

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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.