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Finding the Third Proportional to 72,992 and 160,352

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Solution

The third proportional to 72,992 and 160,352 is: 352,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,992 : 160,352 = 160,352 : x
  2. Step 2: Convert to fraction form
    72,992/160,352 = 160,352/x
  3. Step 3: Cross multiply
    72,992x = 160,352 × 160,352
  4. Step 4: Simplify right side
    72,992x = 25,712,763,904
  5. Step 5: Solve for x
    x = 25,712,763,904/72,992
  6. Step 6: Final answer
    x = 352,268.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.