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Finding the Third Proportional to 77,755.50 and 116,613

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Solution

The third proportional to 77,755.50 and 116,613 is: 174,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,755.50 : 116,613 = 116,613 : x
  2. Step 2: Convert to fraction form
    77,755.50/116,613 = 116,613/x
  3. Step 3: Cross multiply
    77,755.50x = 116,613 × 116,613
  4. Step 4: Simplify right side
    77,755.50x = 13,598,591,769
  5. Step 5: Solve for x
    x = 13,598,591,769/77,755.50
  6. Step 6: Final answer
    x = 174,889.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.