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Finding the Third Proportional to 116,698 and 169,944

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Solution

The third proportional to 116,698 and 169,944 is: 247,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,698 : 169,944 = 169,944 : x
  2. Step 2: Convert to fraction form
    116,698/169,944 = 169,944/x
  3. Step 3: Cross multiply
    116,698x = 169,944 × 169,944
  4. Step 4: Simplify right side
    116,698x = 28,880,963,136
  5. Step 5: Solve for x
    x = 28,880,963,136/116,698
  6. Step 6: Final answer
    x = 247,484.65

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Why These Related Problems?

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