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Finding the Third Proportional to 58,666 and 84,069

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Solution

The third proportional to 58,666 and 84,069 is: 120,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,666 : 84,069 = 84,069 : x
  2. Step 2: Convert to fraction form
    58,666/84,069 = 84,069/x
  3. Step 3: Cross multiply
    58,666x = 84,069 × 84,069
  4. Step 4: Simplify right side
    58,666x = 7,067,596,761
  5. Step 5: Solve for x
    x = 7,067,596,761/58,666
  6. Step 6: Final answer
    x = 120,471.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.