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Finding the Third Proportional to 55,970 and 84,494

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Solution

The third proportional to 55,970 and 84,494 is: 127,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970 : 84,494 = 84,494 : x
  2. Step 2: Convert to fraction form
    55,970/84,494 = 84,494/x
  3. Step 3: Cross multiply
    55,970x = 84,494 × 84,494
  4. Step 4: Simplify right side
    55,970x = 7,139,236,036
  5. Step 5: Solve for x
    x = 7,139,236,036/55,970
  6. Step 6: Final answer
    x = 127,554.69

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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.