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Finding the Third Proportional to 109,872 and 237,240

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Solution

The third proportional to 109,872 and 237,240 is: 512,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872 : 237,240 = 237,240 : x
  2. Step 2: Convert to fraction form
    109,872/237,240 = 237,240/x
  3. Step 3: Cross multiply
    109,872x = 237,240 × 237,240
  4. Step 4: Simplify right side
    109,872x = 56,282,817,600
  5. Step 5: Solve for x
    x = 56,282,817,600/109,872
  6. Step 6: Final answer
    x = 512,258.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.