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Finding the Third Proportional to 126,146 and 189,746

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Solution

The third proportional to 126,146 and 189,746 is: 285,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,146 : 189,746 = 189,746 : x
  2. Step 2: Convert to fraction form
    126,146/189,746 = 189,746/x
  3. Step 3: Cross multiply
    126,146x = 189,746 × 189,746
  4. Step 4: Simplify right side
    126,146x = 36,003,544,516
  5. Step 5: Solve for x
    x = 36,003,544,516/126,146
  6. Step 6: Final answer
    x = 285,411.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.