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Finding the Third Proportional to 34,074 and 74,709

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Solution

The third proportional to 34,074 and 74,709 is: 163,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074 : 74,709 = 74,709 : x
  2. Step 2: Convert to fraction form
    34,074/74,709 = 74,709/x
  3. Step 3: Cross multiply
    34,074x = 74,709 × 74,709
  4. Step 4: Simplify right side
    34,074x = 5,581,434,681
  5. Step 5: Solve for x
    x = 5,581,434,681/34,074
  6. Step 6: Final answer
    x = 163,803.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.