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Finding the Third Proportional to 124,493.06 and 266,736.94

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Solution

The third proportional to 124,493.06 and 266,736.94 is: 571,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,493.06 : 266,736.94 = 266,736.94 : x
  2. Step 2: Convert to fraction form
    124,493.06/266,736.94 = 266,736.94/x
  3. Step 3: Cross multiply
    124,493.06x = 266,736.94 × 266,736.94
  4. Step 4: Simplify right side
    124,493.06x = 71,148,593,826.88
  5. Step 5: Solve for x
    x = 71,148,593,826.88/124,493.06
  6. Step 6: Final answer
    x = 571,506.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.