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Finding the Third Proportional to 84,741 and 124,519.50

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Solution

The third proportional to 84,741 and 124,519.50 is: 182,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,741 : 124,519.50 = 124,519.50 : x
  2. Step 2: Convert to fraction form
    84,741/124,519.50 = 124,519.50/x
  3. Step 3: Cross multiply
    84,741x = 124,519.50 × 124,519.50
  4. Step 4: Simplify right side
    84,741x = 15,505,105,880.25
  5. Step 5: Solve for x
    x = 15,505,105,880.25/84,741
  6. Step 6: Final answer
    x = 182,970.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.