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Finding the Third Proportional to 58,770 and 127,796

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Solution

The third proportional to 58,770 and 127,796 is: 277,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,770 : 127,796 = 127,796 : x
  2. Step 2: Convert to fraction form
    58,770/127,796 = 127,796/x
  3. Step 3: Cross multiply
    58,770x = 127,796 × 127,796
  4. Step 4: Simplify right side
    58,770x = 16,331,817,616
  5. Step 5: Solve for x
    x = 16,331,817,616/58,770
  6. Step 6: Final answer
    x = 277,893.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.