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Finding the Third Proportional to 67,187 and 147,514

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Solution

The third proportional to 67,187 and 147,514 is: 323,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,187 : 147,514 = 147,514 : x
  2. Step 2: Convert to fraction form
    67,187/147,514 = 147,514/x
  3. Step 3: Cross multiply
    67,187x = 147,514 × 147,514
  4. Step 4: Simplify right side
    67,187x = 21,760,380,196
  5. Step 5: Solve for x
    x = 21,760,380,196/67,187
  6. Step 6: Final answer
    x = 323,877.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.