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Finding the Third Proportional to 72,289 and 112,805

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Solution

The third proportional to 72,289 and 112,805 is: 176,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,289 : 112,805 = 112,805 : x
  2. Step 2: Convert to fraction form
    72,289/112,805 = 112,805/x
  3. Step 3: Cross multiply
    72,289x = 112,805 × 112,805
  4. Step 4: Simplify right side
    72,289x = 12,724,968,025
  5. Step 5: Solve for x
    x = 12,724,968,025/72,289
  6. Step 6: Final answer
    x = 176,029.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.