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Finding the Third Proportional to 74,738 and 112,323

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Solution

The third proportional to 74,738 and 112,323 is: 168,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,738 : 112,323 = 112,323 : x
  2. Step 2: Convert to fraction form
    74,738/112,323 = 112,323/x
  3. Step 3: Cross multiply
    74,738x = 112,323 × 112,323
  4. Step 4: Simplify right side
    74,738x = 12,616,456,329
  5. Step 5: Solve for x
    x = 12,616,456,329/74,738
  6. Step 6: Final answer
    x = 168,809.12

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