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Finding the Third Proportional to 62,466.19 and 132,176.81

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Solution

The third proportional to 62,466.19 and 132,176.81 is: 279,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466.19 : 132,176.81 = 132,176.81 : x
  2. Step 2: Convert to fraction form
    62,466.19/132,176.81 = 132,176.81/x
  3. Step 3: Cross multiply
    62,466.19x = 132,176.81 × 132,176.81
  4. Step 4: Simplify right side
    62,466.19x = 17,470,709,762.66
  5. Step 5: Solve for x
    x = 17,470,709,762.66/62,466.19
  6. Step 6: Final answer
    x = 279,682.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.