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Finding the Third Proportional to 59,559 and 84,654

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Solution

The third proportional to 59,559 and 84,654 is: 120,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,559 : 84,654 = 84,654 : x
  2. Step 2: Convert to fraction form
    59,559/84,654 = 84,654/x
  3. Step 3: Cross multiply
    59,559x = 84,654 × 84,654
  4. Step 4: Simplify right side
    59,559x = 7,166,299,716
  5. Step 5: Solve for x
    x = 7,166,299,716/59,559
  6. Step 6: Final answer
    x = 120,322.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.