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Finding the Third Proportional to 66,888 and 110,276

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Solution

The third proportional to 66,888 and 110,276 is: 181,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,888 : 110,276 = 110,276 : x
  2. Step 2: Convert to fraction form
    66,888/110,276 = 110,276/x
  3. Step 3: Cross multiply
    66,888x = 110,276 × 110,276
  4. Step 4: Simplify right side
    66,888x = 12,160,796,176
  5. Step 5: Solve for x
    x = 12,160,796,176/66,888
  6. Step 6: Final answer
    x = 181,808.34

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.