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Finding the Third Proportional to 55,926 and 84,703

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Solution

The third proportional to 55,926 and 84,703 is: 128,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,926 : 84,703 = 84,703 : x
  2. Step 2: Convert to fraction form
    55,926/84,703 = 84,703/x
  3. Step 3: Cross multiply
    55,926x = 84,703 × 84,703
  4. Step 4: Simplify right side
    55,926x = 7,174,598,209
  5. Step 5: Solve for x
    x = 7,174,598,209/55,926
  6. Step 6: Final answer
    x = 128,287.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.