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Finding the Third Proportional to 108,637.50 and 146,187

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Solution

The third proportional to 108,637.50 and 146,187 is: 196,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,637.50 : 146,187 = 146,187 : x
  2. Step 2: Convert to fraction form
    108,637.50/146,187 = 146,187/x
  3. Step 3: Cross multiply
    108,637.50x = 146,187 × 146,187
  4. Step 4: Simplify right side
    108,637.50x = 21,370,638,969
  5. Step 5: Solve for x
    x = 21,370,638,969/108,637.50
  6. Step 6: Final answer
    x = 196,715.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.