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Finding the Third Proportional to 108,972 and 238,965

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Solution

The third proportional to 108,972 and 238,965 is: 524,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972 : 238,965 = 238,965 : x
  2. Step 2: Convert to fraction form
    108,972/238,965 = 238,965/x
  3. Step 3: Cross multiply
    108,972x = 238,965 × 238,965
  4. Step 4: Simplify right side
    108,972x = 57,104,271,225
  5. Step 5: Solve for x
    x = 57,104,271,225/108,972
  6. Step 6: Final answer
    x = 524,027.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.