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Finding the Third Proportional to 106,436.13 and 177,386.50

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Solution

The third proportional to 106,436.13 and 177,386.50 is: 295,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,436.13 : 177,386.50 = 177,386.50 : x
  2. Step 2: Convert to fraction form
    106,436.13/177,386.50 = 177,386.50/x
  3. Step 3: Cross multiply
    106,436.13x = 177,386.50 × 177,386.50
  4. Step 4: Simplify right side
    106,436.13x = 31,465,970,382.25
  5. Step 5: Solve for x
    x = 31,465,970,382.25/106,436.13
  6. Step 6: Final answer
    x = 295,632.43

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.