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Finding the Third Proportional to 58,065 and 84,857

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Solution

The third proportional to 58,065 and 84,857 is: 124,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,065 : 84,857 = 84,857 : x
  2. Step 2: Convert to fraction form
    58,065/84,857 = 84,857/x
  3. Step 3: Cross multiply
    58,065x = 84,857 × 84,857
  4. Step 4: Simplify right side
    58,065x = 7,200,710,449
  5. Step 5: Solve for x
    x = 7,200,710,449/58,065
  6. Step 6: Final answer
    x = 124,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.