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Finding the Third Proportional to 32,069 and 74,948

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Solution

The third proportional to 32,069 and 74,948 is: 175,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069 : 74,948 = 74,948 : x
  2. Step 2: Convert to fraction form
    32,069/74,948 = 74,948/x
  3. Step 3: Cross multiply
    32,069x = 74,948 × 74,948
  4. Step 4: Simplify right side
    32,069x = 5,617,202,704
  5. Step 5: Solve for x
    x = 5,617,202,704/32,069
  6. Step 6: Final answer
    x = 175,159.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.