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Finding the Third Proportional to 92,115 and 142,243

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Solution

The third proportional to 92,115 and 142,243 is: 219,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,115 : 142,243 = 142,243 : x
  2. Step 2: Convert to fraction form
    92,115/142,243 = 142,243/x
  3. Step 3: Cross multiply
    92,115x = 142,243 × 142,243
  4. Step 4: Simplify right side
    92,115x = 20,233,071,049
  5. Step 5: Solve for x
    x = 20,233,071,049/92,115
  6. Step 6: Final answer
    x = 219,650.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.