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Finding the Third Proportional to 74,772.38 and 106,649.06

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Solution

The third proportional to 74,772.38 and 106,649.06 is: 152,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,772.38 : 106,649.06 = 106,649.06 : x
  2. Step 2: Convert to fraction form
    74,772.38/106,649.06 = 106,649.06/x
  3. Step 3: Cross multiply
    74,772.38x = 106,649.06 × 106,649.06
  4. Step 4: Simplify right side
    74,772.38x = 11,374,022,532.13
  5. Step 5: Solve for x
    x = 11,374,022,532.13/74,772.38
  6. Step 6: Final answer
    x = 152,115.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.