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Finding the Third Proportional to 52,827.47 and 124,579.13

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Solution

The third proportional to 52,827.47 and 124,579.13 is: 293,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,827.47 : 124,579.13 = 124,579.13 : x
  2. Step 2: Convert to fraction form
    52,827.47/124,579.13 = 124,579.13/x
  3. Step 3: Cross multiply
    52,827.47x = 124,579.13 × 124,579.13
  4. Step 4: Simplify right side
    52,827.47x = 15,519,958,385.77
  5. Step 5: Solve for x
    x = 15,519,958,385.77/52,827.47
  6. Step 6: Final answer
    x = 293,785.77

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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.