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Finding the Third Proportional to 56,912 and 83,896

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Solution

The third proportional to 56,912 and 83,896 is: 123,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912 : 83,896 = 83,896 : x
  2. Step 2: Convert to fraction form
    56,912/83,896 = 83,896/x
  3. Step 3: Cross multiply
    56,912x = 83,896 × 83,896
  4. Step 4: Simplify right side
    56,912x = 7,038,538,816
  5. Step 5: Solve for x
    x = 7,038,538,816/56,912
  6. Step 6: Final answer
    x = 123,674.07

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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.