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Finding the Third Proportional to 111,792 and 169,132.50

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Solution

The third proportional to 111,792 and 169,132.50 is: 255,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,792 : 169,132.50 = 169,132.50 : x
  2. Step 2: Convert to fraction form
    111,792/169,132.50 = 169,132.50/x
  3. Step 3: Cross multiply
    111,792x = 169,132.50 × 169,132.50
  4. Step 4: Simplify right side
    111,792x = 28,605,802,556.25
  5. Step 5: Solve for x
    x = 28,605,802,556.25/111,792
  6. Step 6: Final answer
    x = 255,884.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.