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Finding the Third Proportional to 73,000.50 and 106,630.50

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Solution

The third proportional to 73,000.50 and 106,630.50 is: 155,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000.50 : 106,630.50 = 106,630.50 : x
  2. Step 2: Convert to fraction form
    73,000.50/106,630.50 = 106,630.50/x
  3. Step 3: Cross multiply
    73,000.50x = 106,630.50 × 106,630.50
  4. Step 4: Simplify right side
    73,000.50x = 11,370,063,530.25
  5. Step 5: Solve for x
    x = 11,370,063,530.25/73,000.50
  6. Step 6: Final answer
    x = 155,753.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.