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Finding the Third Proportional to 74,088 and 111,141

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Solution

The third proportional to 74,088 and 111,141 is: 166,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,088 : 111,141 = 111,141 : x
  2. Step 2: Convert to fraction form
    74,088/111,141 = 111,141/x
  3. Step 3: Cross multiply
    74,088x = 111,141 × 111,141
  4. Step 4: Simplify right side
    74,088x = 12,352,321,881
  5. Step 5: Solve for x
    x = 12,352,321,881/74,088
  6. Step 6: Final answer
    x = 166,725.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.