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Finding the Third Proportional to 52,154.63 and 106,788.75

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Solution

The third proportional to 52,154.63 and 106,788.75 is: 218,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.63 : 106,788.75 = 106,788.75 : x
  2. Step 2: Convert to fraction form
    52,154.63/106,788.75 = 106,788.75/x
  3. Step 3: Cross multiply
    52,154.63x = 106,788.75 × 106,788.75
  4. Step 4: Simplify right side
    52,154.63x = 11,403,837,126.56
  5. Step 5: Solve for x
    x = 11,403,837,126.56/52,154.63
  6. Step 6: Final answer
    x = 218,654.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.