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Finding the Third Proportional to 52,851 and 110,076

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Solution

The third proportional to 52,851 and 110,076 is: 229,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,851 : 110,076 = 110,076 : x
  2. Step 2: Convert to fraction form
    52,851/110,076 = 110,076/x
  3. Step 3: Cross multiply
    52,851x = 110,076 × 110,076
  4. Step 4: Simplify right side
    52,851x = 12,116,725,776
  5. Step 5: Solve for x
    x = 12,116,725,776/52,851
  6. Step 6: Final answer
    x = 229,262.00

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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.