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Finding the Third Proportional to 53,614.50 and 124,653

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Solution

The third proportional to 53,614.50 and 124,653 is: 289,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614.50 : 124,653 = 124,653 : x
  2. Step 2: Convert to fraction form
    53,614.50/124,653 = 124,653/x
  3. Step 3: Cross multiply
    53,614.50x = 124,653 × 124,653
  4. Step 4: Simplify right side
    53,614.50x = 15,538,370,409
  5. Step 5: Solve for x
    x = 15,538,370,409/53,614.50
  6. Step 6: Final answer
    x = 289,816.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.