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Finding the Third Proportional to 124,506 and 186,884

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Solution

The third proportional to 124,506 and 186,884 is: 280,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,506 : 186,884 = 186,884 : x
  2. Step 2: Convert to fraction form
    124,506/186,884 = 186,884/x
  3. Step 3: Cross multiply
    124,506x = 186,884 × 186,884
  4. Step 4: Simplify right side
    124,506x = 34,925,629,456
  5. Step 5: Solve for x
    x = 34,925,629,456/124,506
  6. Step 6: Final answer
    x = 280,513.63

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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.