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Finding the Third Proportional to 93,016 and 142,316

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Solution

The third proportional to 93,016 and 142,316 is: 217,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,016 : 142,316 = 142,316 : x
  2. Step 2: Convert to fraction form
    93,016/142,316 = 142,316/x
  3. Step 3: Cross multiply
    93,016x = 142,316 × 142,316
  4. Step 4: Simplify right side
    93,016x = 20,253,843,856
  5. Step 5: Solve for x
    x = 20,253,843,856/93,016
  6. Step 6: Final answer
    x = 217,745.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.