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Finding the Third Proportional to 131,140 and 192,406

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Solution

The third proportional to 131,140 and 192,406 is: 282,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,140 : 192,406 = 192,406 : x
  2. Step 2: Convert to fraction form
    131,140/192,406 = 192,406/x
  3. Step 3: Cross multiply
    131,140x = 192,406 × 192,406
  4. Step 4: Simplify right side
    131,140x = 37,020,068,836
  5. Step 5: Solve for x
    x = 37,020,068,836/131,140
  6. Step 6: Final answer
    x = 282,294.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.