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Finding the Third Proportional to 124,314 and 186,471

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Solution

The third proportional to 124,314 and 186,471 is: 279,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,314 : 186,471 = 186,471 : x
  2. Step 2: Convert to fraction form
    124,314/186,471 = 186,471/x
  3. Step 3: Cross multiply
    124,314x = 186,471 × 186,471
  4. Step 4: Simplify right side
    124,314x = 34,771,433,841
  5. Step 5: Solve for x
    x = 34,771,433,841/124,314
  6. Step 6: Final answer
    x = 279,706.50

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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.