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Finding the Third Proportional to 124,570 and 186,672

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Solution

The third proportional to 124,570 and 186,672 is: 279,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,570 : 186,672 = 186,672 : x
  2. Step 2: Convert to fraction form
    124,570/186,672 = 186,672/x
  3. Step 3: Cross multiply
    124,570x = 186,672 × 186,672
  4. Step 4: Simplify right side
    124,570x = 34,846,435,584
  5. Step 5: Solve for x
    x = 34,846,435,584/124,570
  6. Step 6: Final answer
    x = 279,733.77

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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.