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Finding the Third Proportional to 92,207 and 142,406

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Solution

The third proportional to 92,207 and 142,406 is: 219,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,207 : 142,406 = 142,406 : x
  2. Step 2: Convert to fraction form
    92,207/142,406 = 142,406/x
  3. Step 3: Cross multiply
    92,207x = 142,406 × 142,406
  4. Step 4: Simplify right side
    92,207x = 20,279,468,836
  5. Step 5: Solve for x
    x = 20,279,468,836/92,207
  6. Step 6: Final answer
    x = 219,934.16

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