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Finding the Third Proportional to 142,740 and 187,746

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Solution

The third proportional to 142,740 and 187,746 is: 246,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,740 : 187,746 = 187,746 : x
  2. Step 2: Convert to fraction form
    142,740/187,746 = 187,746/x
  3. Step 3: Cross multiply
    142,740x = 187,746 × 187,746
  4. Step 4: Simplify right side
    142,740x = 35,248,560,516
  5. Step 5: Solve for x
    x = 35,248,560,516/142,740
  6. Step 6: Final answer
    x = 246,942.42

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.