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Finding the Third Proportional to 112,104 and 164,875.50

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Solution

The third proportional to 112,104 and 164,875.50 is: 242,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,104 : 164,875.50 = 164,875.50 : x
  2. Step 2: Convert to fraction form
    112,104/164,875.50 = 164,875.50/x
  3. Step 3: Cross multiply
    112,104x = 164,875.50 × 164,875.50
  4. Step 4: Simplify right side
    112,104x = 27,183,930,500.25
  5. Step 5: Solve for x
    x = 27,183,930,500.25/112,104
  6. Step 6: Final answer
    x = 242,488.50

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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.