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Finding the Third Proportional to 48,072 and 71,709

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Solution

The third proportional to 48,072 and 71,709 is: 106,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072 : 71,709 = 71,709 : x
  2. Step 2: Convert to fraction form
    48,072/71,709 = 71,709/x
  3. Step 3: Cross multiply
    48,072x = 71,709 × 71,709
  4. Step 4: Simplify right side
    48,072x = 5,142,180,681
  5. Step 5: Solve for x
    x = 5,142,180,681/48,072
  6. Step 6: Final answer
    x = 106,968.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.