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Finding the Third Proportional to 52,828.13 and 124,579.69

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Solution

The third proportional to 52,828.13 and 124,579.69 is: 293,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828.13 : 124,579.69 = 124,579.69 : x
  2. Step 2: Convert to fraction form
    52,828.13/124,579.69 = 124,579.69/x
  3. Step 3: Cross multiply
    52,828.13x = 124,579.69 × 124,579.69
  4. Step 4: Simplify right side
    52,828.13x = 15,520,098,537.60
  5. Step 5: Solve for x
    x = 15,520,098,537.60/52,828.13
  6. Step 6: Final answer
    x = 293,784.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.