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Finding the Third Proportional to 73,840 and 160,032

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Solution

The third proportional to 73,840 and 160,032 is: 346,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,840 : 160,032 = 160,032 : x
  2. Step 2: Convert to fraction form
    73,840/160,032 = 160,032/x
  3. Step 3: Cross multiply
    73,840x = 160,032 × 160,032
  4. Step 4: Simplify right side
    73,840x = 25,610,241,024
  5. Step 5: Solve for x
    x = 25,610,241,024/73,840
  6. Step 6: Final answer
    x = 346,834.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.