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Finding the Third Proportional to 110,965 and 162,550

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Solution

The third proportional to 110,965 and 162,550 is: 238,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,965 : 162,550 = 162,550 : x
  2. Step 2: Convert to fraction form
    110,965/162,550 = 162,550/x
  3. Step 3: Cross multiply
    110,965x = 162,550 × 162,550
  4. Step 4: Simplify right side
    110,965x = 26,422,502,500
  5. Step 5: Solve for x
    x = 26,422,502,500/110,965
  6. Step 6: Final answer
    x = 238,115.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.