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Finding the Third Proportional to 42,056.65 and 92,287.23

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Solution

The third proportional to 42,056.65 and 92,287.23 is: 202,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,056.65 : 92,287.23 = 92,287.23 : x
  2. Step 2: Convert to fraction form
    42,056.65/92,287.23 = 92,287.23/x
  3. Step 3: Cross multiply
    42,056.65x = 92,287.23 × 92,287.23
  4. Step 4: Simplify right side
    42,056.65x = 8,516,932,704.81
  5. Step 5: Solve for x
    x = 8,516,932,704.81/42,056.65
  6. Step 6: Final answer
    x = 202,510.97

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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.