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Finding the Third Proportional to 74,790 and 112,179

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Solution

The third proportional to 74,790 and 112,179 is: 168,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,790 : 112,179 = 112,179 : x
  2. Step 2: Convert to fraction form
    74,790/112,179 = 112,179/x
  3. Step 3: Cross multiply
    74,790x = 112,179 × 112,179
  4. Step 4: Simplify right side
    74,790x = 12,584,128,041
  5. Step 5: Solve for x
    x = 12,584,128,041/74,790
  6. Step 6: Final answer
    x = 168,259.50

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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.