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Finding the Third Proportional to 124,515 and 186,900

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Solution

The third proportional to 124,515 and 186,900 is: 280,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,515 : 186,900 = 186,900 : x
  2. Step 2: Convert to fraction form
    124,515/186,900 = 186,900/x
  3. Step 3: Cross multiply
    124,515x = 186,900 × 186,900
  4. Step 4: Simplify right side
    124,515x = 34,931,610,000
  5. Step 5: Solve for x
    x = 34,931,610,000/124,515
  6. Step 6: Final answer
    x = 280,541.38

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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.