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Finding the Third Proportional to 56,152 and 83,406

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Solution

The third proportional to 56,152 and 83,406 is: 123,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,152 : 83,406 = 83,406 : x
  2. Step 2: Convert to fraction form
    56,152/83,406 = 83,406/x
  3. Step 3: Cross multiply
    56,152x = 83,406 × 83,406
  4. Step 4: Simplify right side
    56,152x = 6,956,560,836
  5. Step 5: Solve for x
    x = 6,956,560,836/56,152
  6. Step 6: Final answer
    x = 123,888.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.