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Finding the Third Proportional to 88,295 and 187,971

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Solution

The third proportional to 88,295 and 187,971 is: 400,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,295 : 187,971 = 187,971 : x
  2. Step 2: Convert to fraction form
    88,295/187,971 = 187,971/x
  3. Step 3: Cross multiply
    88,295x = 187,971 × 187,971
  4. Step 4: Simplify right side
    88,295x = 35,333,096,841
  5. Step 5: Solve for x
    x = 35,333,096,841/88,295
  6. Step 6: Final answer
    x = 400,170.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.