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Finding the Third Proportional to 97,016 and 145,146

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Solution

The third proportional to 97,016 and 145,146 is: 217,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,016 : 145,146 = 145,146 : x
  2. Step 2: Convert to fraction form
    97,016/145,146 = 145,146/x
  3. Step 3: Cross multiply
    97,016x = 145,146 × 145,146
  4. Step 4: Simplify right side
    97,016x = 21,067,361,316
  5. Step 5: Solve for x
    x = 21,067,361,316/97,016
  6. Step 6: Final answer
    x = 217,153.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.