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Finding the Third Proportional to 55,899 and 83,088

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Solution

The third proportional to 55,899 and 83,088 is: 123,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,899 : 83,088 = 83,088 : x
  2. Step 2: Convert to fraction form
    55,899/83,088 = 83,088/x
  3. Step 3: Cross multiply
    55,899x = 83,088 × 83,088
  4. Step 4: Simplify right side
    55,899x = 6,903,615,744
  5. Step 5: Solve for x
    x = 6,903,615,744/55,899
  6. Step 6: Final answer
    x = 123,501.60

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Why These Related Problems?

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