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Finding the Third Proportional to 32,187 and 67,316

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Solution

The third proportional to 32,187 and 67,316 is: 140,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187 : 67,316 = 67,316 : x
  2. Step 2: Convert to fraction form
    32,187/67,316 = 67,316/x
  3. Step 3: Cross multiply
    32,187x = 67,316 × 67,316
  4. Step 4: Simplify right side
    32,187x = 4,531,443,856
  5. Step 5: Solve for x
    x = 4,531,443,856/32,187
  6. Step 6: Final answer
    x = 140,784.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.