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Finding the Third Proportional to 74,487.09 and 113,963.20

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Solution

The third proportional to 74,487.09 and 113,963.20 is: 174,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,487.09 : 113,963.20 = 113,963.20 : x
  2. Step 2: Convert to fraction form
    74,487.09/113,963.20 = 113,963.20/x
  3. Step 3: Cross multiply
    74,487.09x = 113,963.20 × 113,963.20
  4. Step 4: Simplify right side
    74,487.09x = 12,987,611,666.51
  5. Step 5: Solve for x
    x = 12,987,611,666.51/74,487.09
  6. Step 6: Final answer
    x = 174,360.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.