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Finding the Third Proportional to 93,449 and 141,146

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Solution

The third proportional to 93,449 and 141,146 is: 213,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,449 : 141,146 = 141,146 : x
  2. Step 2: Convert to fraction form
    93,449/141,146 = 141,146/x
  3. Step 3: Cross multiply
    93,449x = 141,146 × 141,146
  4. Step 4: Simplify right side
    93,449x = 19,922,193,316
  5. Step 5: Solve for x
    x = 19,922,193,316/93,449
  6. Step 6: Final answer
    x = 213,187.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.