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Finding the Third Proportional to 110,272 and 174,840

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Solution

The third proportional to 110,272 and 174,840 is: 277,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,272 : 174,840 = 174,840 : x
  2. Step 2: Convert to fraction form
    110,272/174,840 = 174,840/x
  3. Step 3: Cross multiply
    110,272x = 174,840 × 174,840
  4. Step 4: Simplify right side
    110,272x = 30,569,025,600
  5. Step 5: Solve for x
    x = 30,569,025,600/110,272
  6. Step 6: Final answer
    x = 277,214.76

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Why These Related Problems?

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