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Finding the Third Proportional to 76,466.25 and 116,643.38

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Solution

The third proportional to 76,466.25 and 116,643.38 is: 177,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.25 : 116,643.38 = 116,643.38 : x
  2. Step 2: Convert to fraction form
    76,466.25/116,643.38 = 116,643.38/x
  3. Step 3: Cross multiply
    76,466.25x = 116,643.38 × 116,643.38
  4. Step 4: Simplify right side
    76,466.25x = 13,605,676,931.39
  5. Step 5: Solve for x
    x = 13,605,676,931.39/76,466.25
  6. Step 6: Final answer
    x = 177,930.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.