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Finding the Third Proportional to 137,574.75 and 197,605.13

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Solution

The third proportional to 137,574.75 and 197,605.13 is: 283,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,574.75 : 197,605.13 = 197,605.13 : x
  2. Step 2: Convert to fraction form
    137,574.75/197,605.13 = 197,605.13/x
  3. Step 3: Cross multiply
    137,574.75x = 197,605.13 × 197,605.13
  4. Step 4: Simplify right side
    137,574.75x = 39,047,785,426.27
  5. Step 5: Solve for x
    x = 39,047,785,426.27/137,574.75
  6. Step 6: Final answer
    x = 283,829.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.