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Finding the Third Proportional to 110,383 and 174,862

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Solution

The third proportional to 110,383 and 174,862 is: 277,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,383 : 174,862 = 174,862 : x
  2. Step 2: Convert to fraction form
    110,383/174,862 = 174,862/x
  3. Step 3: Cross multiply
    110,383x = 174,862 × 174,862
  4. Step 4: Simplify right side
    110,383x = 30,576,719,044
  5. Step 5: Solve for x
    x = 30,576,719,044/110,383
  6. Step 6: Final answer
    x = 277,005.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.