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Finding the Third Proportional to 124,727.63 and 274,368.38

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Solution

The third proportional to 124,727.63 and 274,368.38 is: 603,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,727.63 : 274,368.38 = 274,368.38 : x
  2. Step 2: Convert to fraction form
    124,727.63/274,368.38 = 274,368.38/x
  3. Step 3: Cross multiply
    124,727.63x = 274,368.38 × 274,368.38
  4. Step 4: Simplify right side
    124,727.63x = 75,278,005,200.14
  5. Step 5: Solve for x
    x = 75,278,005,200.14/124,727.63
  6. Step 6: Final answer
    x = 603,539.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.