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Finding the Third Proportional to 124,582 and 186,838

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Solution

The third proportional to 124,582 and 186,838 is: 280,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,582 : 186,838 = 186,838 : x
  2. Step 2: Convert to fraction form
    124,582/186,838 = 186,838/x
  3. Step 3: Cross multiply
    124,582x = 186,838 × 186,838
  4. Step 4: Simplify right side
    124,582x = 34,908,438,244
  5. Step 5: Solve for x
    x = 34,908,438,244/124,582
  6. Step 6: Final answer
    x = 280,204.51

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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.