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Finding the Third Proportional to 109,737 and 164,137.50

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Solution

The third proportional to 109,737 and 164,137.50 is: 245,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,737 : 164,137.50 = 164,137.50 : x
  2. Step 2: Convert to fraction form
    109,737/164,137.50 = 164,137.50/x
  3. Step 3: Cross multiply
    109,737x = 164,137.50 × 164,137.50
  4. Step 4: Simplify right side
    109,737x = 26,941,118,906.25
  5. Step 5: Solve for x
    x = 26,941,118,906.25/109,737
  6. Step 6: Final answer
    x = 245,506.25

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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.