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Finding the Third Proportional to 108,984 and 146,169

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Solution

The third proportional to 108,984 and 146,169 is: 196,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,984 : 146,169 = 146,169 : x
  2. Step 2: Convert to fraction form
    108,984/146,169 = 146,169/x
  3. Step 3: Cross multiply
    108,984x = 146,169 × 146,169
  4. Step 4: Simplify right side
    108,984x = 21,365,376,561
  5. Step 5: Solve for x
    x = 21,365,376,561/108,984
  6. Step 6: Final answer
    x = 196,041.41

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Why These Related Problems?

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