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Finding the Third Proportional to 77,010.75 and 96,400.13

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Solution

The third proportional to 77,010.75 and 96,400.13 is: 120,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,010.75 : 96,400.13 = 96,400.13 : x
  2. Step 2: Convert to fraction form
    77,010.75/96,400.13 = 96,400.13/x
  3. Step 3: Cross multiply
    77,010.75x = 96,400.13 × 96,400.13
  4. Step 4: Simplify right side
    77,010.75x = 9,292,984,100.02
  5. Step 5: Solve for x
    x = 9,292,984,100.02/77,010.75
  6. Step 6: Final answer
    x = 120,671.26

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.