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Finding the Third Proportional to 56,916.56 and 83,529.56

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Solution

The third proportional to 56,916.56 and 83,529.56 is: 122,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,916.56 : 83,529.56 = 83,529.56 : x
  2. Step 2: Convert to fraction form
    56,916.56/83,529.56 = 83,529.56/x
  3. Step 3: Cross multiply
    56,916.56x = 83,529.56 × 83,529.56
  4. Step 4: Simplify right side
    56,916.56x = 6,977,187,811.44
  5. Step 5: Solve for x
    x = 6,977,187,811.44/56,916.56
  6. Step 6: Final answer
    x = 122,586.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.