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Finding the Third Proportional to 52,913.25 and 113,207.63

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Solution

The third proportional to 52,913.25 and 113,207.63 is: 242,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,913.25 : 113,207.63 = 113,207.63 : x
  2. Step 2: Convert to fraction form
    52,913.25/113,207.63 = 113,207.63/x
  3. Step 3: Cross multiply
    52,913.25x = 113,207.63 × 113,207.63
  4. Step 4: Simplify right side
    52,913.25x = 12,815,966,358.14
  5. Step 5: Solve for x
    x = 12,815,966,358.14/52,913.25
  6. Step 6: Final answer
    x = 242,207.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.