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Finding the Third Proportional to 108,148 and 144,663

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Solution

The third proportional to 108,148 and 144,663 is: 193,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,148 : 144,663 = 144,663 : x
  2. Step 2: Convert to fraction form
    108,148/144,663 = 144,663/x
  3. Step 3: Cross multiply
    108,148x = 144,663 × 144,663
  4. Step 4: Simplify right side
    108,148x = 20,927,383,569
  5. Step 5: Solve for x
    x = 20,927,383,569/108,148
  6. Step 6: Final answer
    x = 193,506.89

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.