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Finding the Third Proportional to 74,415 and 113,369.50

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Solution

The third proportional to 74,415 and 113,369.50 is: 172,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,415 : 113,369.50 = 113,369.50 : x
  2. Step 2: Convert to fraction form
    74,415/113,369.50 = 113,369.50/x
  3. Step 3: Cross multiply
    74,415x = 113,369.50 × 113,369.50
  4. Step 4: Simplify right side
    74,415x = 12,852,643,530.25
  5. Step 5: Solve for x
    x = 12,852,643,530.25/74,415
  6. Step 6: Final answer
    x = 172,715.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.