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Finding the Third Proportional to 76,967 and 118,226

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Solution

The third proportional to 76,967 and 118,226 is: 181,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967 : 118,226 = 118,226 : x
  2. Step 2: Convert to fraction form
    76,967/118,226 = 118,226/x
  3. Step 3: Cross multiply
    76,967x = 118,226 × 118,226
  4. Step 4: Simplify right side
    76,967x = 13,977,387,076
  5. Step 5: Solve for x
    x = 13,977,387,076/76,967
  6. Step 6: Final answer
    x = 181,602.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.