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Finding the Third Proportional to 58,996.69 and 127,834.88

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Solution

The third proportional to 58,996.69 and 127,834.88 is: 276,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,996.69 : 127,834.88 = 127,834.88 : x
  2. Step 2: Convert to fraction form
    58,996.69/127,834.88 = 127,834.88/x
  3. Step 3: Cross multiply
    58,996.69x = 127,834.88 × 127,834.88
  4. Step 4: Simplify right side
    58,996.69x = 16,341,755,266.27
  5. Step 5: Solve for x
    x = 16,341,755,266.27/58,996.69
  6. Step 6: Final answer
    x = 276,994.45

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