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Finding the Third Proportional to 55,577 and 72,997

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Solution

The third proportional to 55,577 and 72,997 is: 95,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,577 : 72,997 = 72,997 : x
  2. Step 2: Convert to fraction form
    55,577/72,997 = 72,997/x
  3. Step 3: Cross multiply
    55,577x = 72,997 × 72,997
  4. Step 4: Simplify right side
    55,577x = 5,328,562,009
  5. Step 5: Solve for x
    x = 5,328,562,009/55,577
  6. Step 6: Final answer
    x = 95,877.11

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.