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Finding the Third Proportional to 40,717.69 and 77,258.81

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Solution

The third proportional to 40,717.69 and 77,258.81 is: 146,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,717.69 : 77,258.81 = 77,258.81 : x
  2. Step 2: Convert to fraction form
    40,717.69/77,258.81 = 77,258.81/x
  3. Step 3: Cross multiply
    40,717.69x = 77,258.81 × 77,258.81
  4. Step 4: Simplify right side
    40,717.69x = 5,968,924,108.91
  5. Step 5: Solve for x
    x = 5,968,924,108.91/40,717.69
  6. Step 6: Final answer
    x = 146,592.91

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.