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Finding the Third Proportional to 121,057 and 200,065.50

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Solution

The third proportional to 121,057 and 200,065.50 is: 330,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,057 : 200,065.50 = 200,065.50 : x
  2. Step 2: Convert to fraction form
    121,057/200,065.50 = 200,065.50/x
  3. Step 3: Cross multiply
    121,057x = 200,065.50 × 200,065.50
  4. Step 4: Simplify right side
    121,057x = 40,026,204,290.25
  5. Step 5: Solve for x
    x = 40,026,204,290.25/121,057
  6. Step 6: Final answer
    x = 330,639.32

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.