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Finding the Third Proportional to 57,007.13 and 89,426.53

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Solution

The third proportional to 57,007.13 and 89,426.53 is: 140,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007.13 : 89,426.53 = 89,426.53 : x
  2. Step 2: Convert to fraction form
    57,007.13/89,426.53 = 89,426.53/x
  3. Step 3: Cross multiply
    57,007.13x = 89,426.53 × 89,426.53
  4. Step 4: Simplify right side
    57,007.13x = 7,997,104,491.41
  5. Step 5: Solve for x
    x = 7,997,104,491.41/57,007.13
  6. Step 6: Final answer
    x = 140,282.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.