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Finding the Third Proportional to 113,815 and 172,288

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Solution

The third proportional to 113,815 and 172,288 is: 260,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,815 : 172,288 = 172,288 : x
  2. Step 2: Convert to fraction form
    113,815/172,288 = 172,288/x
  3. Step 3: Cross multiply
    113,815x = 172,288 × 172,288
  4. Step 4: Simplify right side
    113,815x = 29,683,154,944
  5. Step 5: Solve for x
    x = 29,683,154,944/113,815
  6. Step 6: Final answer
    x = 260,801.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.