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Finding the Third Proportional to 55,509 and 84,654

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Solution

The third proportional to 55,509 and 84,654 is: 129,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509 : 84,654 = 84,654 : x
  2. Step 2: Convert to fraction form
    55,509/84,654 = 84,654/x
  3. Step 3: Cross multiply
    55,509x = 84,654 × 84,654
  4. Step 4: Simplify right side
    55,509x = 7,166,299,716
  5. Step 5: Solve for x
    x = 7,166,299,716/55,509
  6. Step 6: Final answer
    x = 129,101.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.