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Finding the Third Proportional to 101,142 and 156,276

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Solution

The third proportional to 101,142 and 156,276 is: 241,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,142 : 156,276 = 156,276 : x
  2. Step 2: Convert to fraction form
    101,142/156,276 = 156,276/x
  3. Step 3: Cross multiply
    101,142x = 156,276 × 156,276
  4. Step 4: Simplify right side
    101,142x = 24,422,188,176
  5. Step 5: Solve for x
    x = 24,422,188,176/101,142
  6. Step 6: Final answer
    x = 241,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.