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Finding the Third Proportional to 52,522.17 and 112,824.14

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Solution

The third proportional to 52,522.17 and 112,824.14 is: 242,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.17 : 112,824.14 = 112,824.14 : x
  2. Step 2: Convert to fraction form
    52,522.17/112,824.14 = 112,824.14/x
  3. Step 3: Cross multiply
    52,522.17x = 112,824.14 × 112,824.14
  4. Step 4: Simplify right side
    52,522.17x = 12,729,286,707.77
  5. Step 5: Solve for x
    x = 12,729,286,707.77/52,522.17
  6. Step 6: Final answer
    x = 242,360.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.