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Finding the Third Proportional to 34,151.63 and 74,557.13

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Solution

The third proportional to 34,151.63 and 74,557.13 is: 162,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,151.63 : 74,557.13 = 74,557.13 : x
  2. Step 2: Convert to fraction form
    34,151.63/74,557.13 = 74,557.13/x
  3. Step 3: Cross multiply
    34,151.63x = 74,557.13 × 74,557.13
  4. Step 4: Simplify right side
    34,151.63x = 5,558,764,888.27
  5. Step 5: Solve for x
    x = 5,558,764,888.27/34,151.63
  6. Step 6: Final answer
    x = 162,767.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.