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Finding the Third Proportional to 52,070.25 and 114,380.25

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Solution

The third proportional to 52,070.25 and 114,380.25 is: 251,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.25 : 114,380.25 = 114,380.25 : x
  2. Step 2: Convert to fraction form
    52,070.25/114,380.25 = 114,380.25/x
  3. Step 3: Cross multiply
    52,070.25x = 114,380.25 × 114,380.25
  4. Step 4: Simplify right side
    52,070.25x = 13,082,841,590.06
  5. Step 5: Solve for x
    x = 13,082,841,590.06/52,070.25
  6. Step 6: Final answer
    x = 251,253.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.