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Finding the Third Proportional to 124,497 and 197,943.75

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Solution

The third proportional to 124,497 and 197,943.75 is: 314,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,497 : 197,943.75 = 197,943.75 : x
  2. Step 2: Convert to fraction form
    124,497/197,943.75 = 197,943.75/x
  3. Step 3: Cross multiply
    124,497x = 197,943.75 × 197,943.75
  4. Step 4: Simplify right side
    124,497x = 39,181,728,164.06
  5. Step 5: Solve for x
    x = 39,181,728,164.06/124,497
  6. Step 6: Final answer
    x = 314,720.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.