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Finding the Third Proportional to 59,927 and 133,155

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Solution

The third proportional to 59,927 and 133,155 is: 295,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,927 : 133,155 = 133,155 : x
  2. Step 2: Convert to fraction form
    59,927/133,155 = 133,155/x
  3. Step 3: Cross multiply
    59,927x = 133,155 × 133,155
  4. Step 4: Simplify right side
    59,927x = 17,730,254,025
  5. Step 5: Solve for x
    x = 17,730,254,025/59,927
  6. Step 6: Final answer
    x = 295,864.20

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.