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Finding the Third Proportional to 42,697.13 and 92,777.06

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Solution

The third proportional to 42,697.13 and 92,777.06 is: 201,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,697.13 : 92,777.06 = 92,777.06 : x
  2. Step 2: Convert to fraction form
    42,697.13/92,777.06 = 92,777.06/x
  3. Step 3: Cross multiply
    42,697.13x = 92,777.06 × 92,777.06
  4. Step 4: Simplify right side
    42,697.13x = 8,607,583,326.13
  5. Step 5: Solve for x
    x = 8,607,583,326.13/42,697.13
  6. Step 6: Final answer
    x = 201,596.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.