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Finding the Third Proportional to 52,824.94 and 114,607.13

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Solution

The third proportional to 52,824.94 and 114,607.13 is: 248,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,824.94 : 114,607.13 = 114,607.13 : x
  2. Step 2: Convert to fraction form
    52,824.94/114,607.13 = 114,607.13/x
  3. Step 3: Cross multiply
    52,824.94x = 114,607.13 × 114,607.13
  4. Step 4: Simplify right side
    52,824.94x = 13,134,793,100.77
  5. Step 5: Solve for x
    x = 13,134,793,100.77/52,824.94
  6. Step 6: Final answer
    x = 248,647.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.