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Finding the Third Proportional to 74,373.75 and 113,305.50

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Solution

The third proportional to 74,373.75 and 113,305.50 is: 172,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,373.75 : 113,305.50 = 113,305.50 : x
  2. Step 2: Convert to fraction form
    74,373.75/113,305.50 = 113,305.50/x
  3. Step 3: Cross multiply
    74,373.75x = 113,305.50 × 113,305.50
  4. Step 4: Simplify right side
    74,373.75x = 12,838,136,330.25
  5. Step 5: Solve for x
    x = 12,838,136,330.25/74,373.75
  6. Step 6: Final answer
    x = 172,616.50

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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.