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Finding the Third Proportional to 96,774.75 and 142,314.47

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Solution

The third proportional to 96,774.75 and 142,314.47 is: 209,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774.75 : 142,314.47 = 142,314.47 : x
  2. Step 2: Convert to fraction form
    96,774.75/142,314.47 = 142,314.47/x
  3. Step 3: Cross multiply
    96,774.75x = 142,314.47 × 142,314.47
  4. Step 4: Simplify right side
    96,774.75x = 20,253,408,015.59
  5. Step 5: Solve for x
    x = 20,253,408,015.59/96,774.75
  6. Step 6: Final answer
    x = 209,284.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.