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Finding the Third Proportional to 108,006 and 145,397

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Solution

The third proportional to 108,006 and 145,397 is: 195,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,006 : 145,397 = 145,397 : x
  2. Step 2: Convert to fraction form
    108,006/145,397 = 145,397/x
  3. Step 3: Cross multiply
    108,006x = 145,397 × 145,397
  4. Step 4: Simplify right side
    108,006x = 21,140,287,609
  5. Step 5: Solve for x
    x = 21,140,287,609/108,006
  6. Step 6: Final answer
    x = 195,732.53

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Why These Related Problems?

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