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Finding the Third Proportional to 56,903 and 83,892

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Solution

The third proportional to 56,903 and 83,892 is: 123,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,903 : 83,892 = 83,892 : x
  2. Step 2: Convert to fraction form
    56,903/83,892 = 83,892/x
  3. Step 3: Cross multiply
    56,903x = 83,892 × 83,892
  4. Step 4: Simplify right side
    56,903x = 7,037,867,664
  5. Step 5: Solve for x
    x = 7,037,867,664/56,903
  6. Step 6: Final answer
    x = 123,681.84

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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.