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Finding the Third Proportional to 52,953 and 116,401.50

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Solution

The third proportional to 52,953 and 116,401.50 is: 255,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,953 : 116,401.50 = 116,401.50 : x
  2. Step 2: Convert to fraction form
    52,953/116,401.50 = 116,401.50/x
  3. Step 3: Cross multiply
    52,953x = 116,401.50 × 116,401.50
  4. Step 4: Simplify right side
    52,953x = 13,549,309,202.25
  5. Step 5: Solve for x
    x = 13,549,309,202.25/52,953
  6. Step 6: Final answer
    x = 255,874.25

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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.