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Finding the Third Proportional to 127,068 and 186,906

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Solution

The third proportional to 127,068 and 186,906 is: 274,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,068 : 186,906 = 186,906 : x
  2. Step 2: Convert to fraction form
    127,068/186,906 = 186,906/x
  3. Step 3: Cross multiply
    127,068x = 186,906 × 186,906
  4. Step 4: Simplify right side
    127,068x = 34,933,852,836
  5. Step 5: Solve for x
    x = 34,933,852,836/127,068
  6. Step 6: Final answer
    x = 274,922.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.