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Finding the Third Proportional to 137,670.75 and 211,762.13

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Solution

The third proportional to 137,670.75 and 211,762.13 is: 325,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,670.75 : 211,762.13 = 211,762.13 : x
  2. Step 2: Convert to fraction form
    137,670.75/211,762.13 = 211,762.13/x
  3. Step 3: Cross multiply
    137,670.75x = 211,762.13 × 211,762.13
  4. Step 4: Simplify right side
    137,670.75x = 44,843,197,584.52
  5. Step 5: Solve for x
    x = 44,843,197,584.52/137,670.75
  6. Step 6: Final answer
    x = 325,727.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.