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Finding the Third Proportional to 112,968 and 165,676.50

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Solution

The third proportional to 112,968 and 165,676.50 is: 242,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,968 : 165,676.50 = 165,676.50 : x
  2. Step 2: Convert to fraction form
    112,968/165,676.50 = 165,676.50/x
  3. Step 3: Cross multiply
    112,968x = 165,676.50 × 165,676.50
  4. Step 4: Simplify right side
    112,968x = 27,448,702,652.25
  5. Step 5: Solve for x
    x = 27,448,702,652.25/112,968
  6. Step 6: Final answer
    x = 242,977.68

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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.