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Finding the Third Proportional to 124,472 and 197,904

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Solution

The third proportional to 124,472 and 197,904 is: 314,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,472 : 197,904 = 197,904 : x
  2. Step 2: Convert to fraction form
    124,472/197,904 = 197,904/x
  3. Step 3: Cross multiply
    124,472x = 197,904 × 197,904
  4. Step 4: Simplify right side
    124,472x = 39,165,993,216
  5. Step 5: Solve for x
    x = 39,165,993,216/124,472
  6. Step 6: Final answer
    x = 314,657.06

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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.