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Finding the Third Proportional to 108,327 and 147,586.50

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Solution

The third proportional to 108,327 and 147,586.50 is: 201,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,327 : 147,586.50 = 147,586.50 : x
  2. Step 2: Convert to fraction form
    108,327/147,586.50 = 147,586.50/x
  3. Step 3: Cross multiply
    108,327x = 147,586.50 × 147,586.50
  4. Step 4: Simplify right side
    108,327x = 21,781,774,982.25
  5. Step 5: Solve for x
    x = 21,781,774,982.25/108,327
  6. Step 6: Final answer
    x = 201,074.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.