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Finding the Third Proportional to 100,429.13 and 137,710.50

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Solution

The third proportional to 100,429.13 and 137,710.50 is: 188,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,429.13 : 137,710.50 = 137,710.50 : x
  2. Step 2: Convert to fraction form
    100,429.13/137,710.50 = 137,710.50/x
  3. Step 3: Cross multiply
    100,429.13x = 137,710.50 × 137,710.50
  4. Step 4: Simplify right side
    100,429.13x = 18,964,181,810.25
  5. Step 5: Solve for x
    x = 18,964,181,810.25/100,429.13
  6. Step 6: Final answer
    x = 188,831.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.