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Finding the Third Proportional to 52,981.88 and 115,076.25

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Solution

The third proportional to 52,981.88 and 115,076.25 is: 249,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,981.88 : 115,076.25 = 115,076.25 : x
  2. Step 2: Convert to fraction form
    52,981.88/115,076.25 = 115,076.25/x
  3. Step 3: Cross multiply
    52,981.88x = 115,076.25 × 115,076.25
  4. Step 4: Simplify right side
    52,981.88x = 13,242,543,314.06
  5. Step 5: Solve for x
    x = 13,242,543,314.06/52,981.88
  6. Step 6: Final answer
    x = 249,944.78

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