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Finding the Third Proportional to 108,635.50 and 159,065

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Solution

The third proportional to 108,635.50 and 159,065 is: 232,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,635.50 : 159,065 = 159,065 : x
  2. Step 2: Convert to fraction form
    108,635.50/159,065 = 159,065/x
  3. Step 3: Cross multiply
    108,635.50x = 159,065 × 159,065
  4. Step 4: Simplify right side
    108,635.50x = 25,301,674,225
  5. Step 5: Solve for x
    x = 25,301,674,225/108,635.50
  6. Step 6: Final answer
    x = 232,904.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.