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Finding the Third Proportional to 73,815 and 128,065.50

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Solution

The third proportional to 73,815 and 128,065.50 is: 222,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,815 : 128,065.50 = 128,065.50 : x
  2. Step 2: Convert to fraction form
    73,815/128,065.50 = 128,065.50/x
  3. Step 3: Cross multiply
    73,815x = 128,065.50 × 128,065.50
  4. Step 4: Simplify right side
    73,815x = 16,400,772,290.25
  5. Step 5: Solve for x
    x = 16,400,772,290.25/73,815
  6. Step 6: Final answer
    x = 222,187.53

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.