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Finding the Third Proportional to 124,670.25 and 186,957

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Solution

The third proportional to 124,670.25 and 186,957 is: 280,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,670.25 : 186,957 = 186,957 : x
  2. Step 2: Convert to fraction form
    124,670.25/186,957 = 186,957/x
  3. Step 3: Cross multiply
    124,670.25x = 186,957 × 186,957
  4. Step 4: Simplify right side
    124,670.25x = 34,952,919,849
  5. Step 5: Solve for x
    x = 34,952,919,849/124,670.25
  6. Step 6: Final answer
    x = 280,362.96

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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.