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Finding the Third Proportional to 56,715.75 and 83,433.38

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Solution

The third proportional to 56,715.75 and 83,433.38 is: 122,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,715.75 : 83,433.38 = 83,433.38 : x
  2. Step 2: Convert to fraction form
    56,715.75/83,433.38 = 83,433.38/x
  3. Step 3: Cross multiply
    56,715.75x = 83,433.38 × 83,433.38
  4. Step 4: Simplify right side
    56,715.75x = 6,961,128,063.89
  5. Step 5: Solve for x
    x = 6,961,128,063.89/56,715.75
  6. Step 6: Final answer
    x = 122,737.12

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