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Finding the Third Proportional to 42,237.75 and 92,607.75

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Solution

The third proportional to 42,237.75 and 92,607.75 is: 203,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,237.75 : 92,607.75 = 92,607.75 : x
  2. Step 2: Convert to fraction form
    42,237.75/92,607.75 = 92,607.75/x
  3. Step 3: Cross multiply
    42,237.75x = 92,607.75 × 92,607.75
  4. Step 4: Simplify right side
    42,237.75x = 8,576,195,360.06
  5. Step 5: Solve for x
    x = 8,576,195,360.06/42,237.75
  6. Step 6: Final answer
    x = 203,045.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.