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Finding the Third Proportional to 115,984 and 169,880

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Solution

The third proportional to 115,984 and 169,880 is: 248,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,984 : 169,880 = 169,880 : x
  2. Step 2: Convert to fraction form
    115,984/169,880 = 169,880/x
  3. Step 3: Cross multiply
    115,984x = 169,880 × 169,880
  4. Step 4: Simplify right side
    115,984x = 28,859,214,400
  5. Step 5: Solve for x
    x = 28,859,214,400/115,984
  6. Step 6: Final answer
    x = 248,820.65

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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.