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Finding the Third Proportional to 73,394.75 and 112,461.50

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Solution

The third proportional to 73,394.75 and 112,461.50 is: 172,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,394.75 : 112,461.50 = 112,461.50 : x
  2. Step 2: Convert to fraction form
    73,394.75/112,461.50 = 112,461.50/x
  3. Step 3: Cross multiply
    73,394.75x = 112,461.50 × 112,461.50
  4. Step 4: Simplify right side
    73,394.75x = 12,647,588,982.25
  5. Step 5: Solve for x
    x = 12,647,588,982.25/73,394.75
  6. Step 6: Final answer
    x = 172,322.80

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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.