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Finding the Third Proportional to 108,688.50 and 171,787.50

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Solution

The third proportional to 108,688.50 and 171,787.50 is: 271,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,688.50 : 171,787.50 = 171,787.50 : x
  2. Step 2: Convert to fraction form
    108,688.50/171,787.50 = 171,787.50/x
  3. Step 3: Cross multiply
    108,688.50x = 171,787.50 × 171,787.50
  4. Step 4: Simplify right side
    108,688.50x = 29,510,945,156.25
  5. Step 5: Solve for x
    x = 29,510,945,156.25/108,688.50
  6. Step 6: Final answer
    x = 271,518.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.