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Finding the Third Proportional to 42,669.28 and 92,719.69

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Solution

The third proportional to 42,669.28 and 92,719.69 is: 201,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,669.28 : 92,719.69 = 92,719.69 : x
  2. Step 2: Convert to fraction form
    42,669.28/92,719.69 = 92,719.69/x
  3. Step 3: Cross multiply
    42,669.28x = 92,719.69 × 92,719.69
  4. Step 4: Simplify right side
    42,669.28x = 8,596,940,450.10
  5. Step 5: Solve for x
    x = 8,596,940,450.10/42,669.28
  6. Step 6: Final answer
    x = 201,478.45

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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.