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Finding the Third Proportional to 124,178 and 186,630

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Solution

The third proportional to 124,178 and 186,630 is: 280,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,178 : 186,630 = 186,630 : x
  2. Step 2: Convert to fraction form
    124,178/186,630 = 186,630/x
  3. Step 3: Cross multiply
    124,178x = 186,630 × 186,630
  4. Step 4: Simplify right side
    124,178x = 34,830,756,900
  5. Step 5: Solve for x
    x = 34,830,756,900/124,178
  6. Step 6: Final answer
    x = 280,490.56

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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.