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Finding the Third Proportional to 52,801.13 and 109,970.63

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Solution

The third proportional to 52,801.13 and 109,970.63 is: 229,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,801.13 : 109,970.63 = 109,970.63 : x
  2. Step 2: Convert to fraction form
    52,801.13/109,970.63 = 109,970.63/x
  3. Step 3: Cross multiply
    52,801.13x = 109,970.63 × 109,970.63
  4. Step 4: Simplify right side
    52,801.13x = 12,093,538,362.89
  5. Step 5: Solve for x
    x = 12,093,538,362.89/52,801.13
  6. Step 6: Final answer
    x = 229,039.41

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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.