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Finding the Third Proportional to 58,982 and 93,816

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Solution

The third proportional to 58,982 and 93,816 is: 149,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,982 : 93,816 = 93,816 : x
  2. Step 2: Convert to fraction form
    58,982/93,816 = 93,816/x
  3. Step 3: Cross multiply
    58,982x = 93,816 × 93,816
  4. Step 4: Simplify right side
    58,982x = 8,801,441,856
  5. Step 5: Solve for x
    x = 8,801,441,856/58,982
  6. Step 6: Final answer
    x = 149,222.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.