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Finding the Third Proportional to 74,399.63 and 106,349.63

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Solution

The third proportional to 74,399.63 and 106,349.63 is: 152,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,399.63 : 106,349.63 = 106,349.63 : x
  2. Step 2: Convert to fraction form
    74,399.63/106,349.63 = 106,349.63/x
  3. Step 3: Cross multiply
    74,399.63x = 106,349.63 × 106,349.63
  4. Step 4: Simplify right side
    74,399.63x = 11,310,242,737.64
  5. Step 5: Solve for x
    x = 11,310,242,737.64/74,399.63
  6. Step 6: Final answer
    x = 152,020.16

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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.