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Finding the Third Proportional to 51,883 and 72,862

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Solution

The third proportional to 51,883 and 72,862 is: 102,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883 : 72,862 = 72,862 : x
  2. Step 2: Convert to fraction form
    51,883/72,862 = 72,862/x
  3. Step 3: Cross multiply
    51,883x = 72,862 × 72,862
  4. Step 4: Simplify right side
    51,883x = 5,308,871,044
  5. Step 5: Solve for x
    x = 5,308,871,044/51,883
  6. Step 6: Final answer
    x = 102,323.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.