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Finding the Third Proportional to 52,971 and 110,254.50

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Solution

The third proportional to 52,971 and 110,254.50 is: 229,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,971 : 110,254.50 = 110,254.50 : x
  2. Step 2: Convert to fraction form
    52,971/110,254.50 = 110,254.50/x
  3. Step 3: Cross multiply
    52,971x = 110,254.50 × 110,254.50
  4. Step 4: Simplify right side
    52,971x = 12,156,054,770.25
  5. Step 5: Solve for x
    x = 12,156,054,770.25/52,971
  6. Step 6: Final answer
    x = 229,485.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.