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Finding the Third Proportional to 52,617.84 and 115,421.91

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Solution

The third proportional to 52,617.84 and 115,421.91 is: 253,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,617.84 : 115,421.91 = 115,421.91 : x
  2. Step 2: Convert to fraction form
    52,617.84/115,421.91 = 115,421.91/x
  3. Step 3: Cross multiply
    52,617.84x = 115,421.91 × 115,421.91
  4. Step 4: Simplify right side
    52,617.84x = 13,322,216,442.38
  5. Step 5: Solve for x
    x = 13,322,216,442.38/52,617.84
  6. Step 6: Final answer
    x = 253,188.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.