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Finding the Third Proportional to 60,794.44 and 97,120.50

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Solution

The third proportional to 60,794.44 and 97,120.50 is: 155,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,794.44 : 97,120.50 = 97,120.50 : x
  2. Step 2: Convert to fraction form
    60,794.44/97,120.50 = 97,120.50/x
  3. Step 3: Cross multiply
    60,794.44x = 97,120.50 × 97,120.50
  4. Step 4: Simplify right side
    60,794.44x = 9,432,391,520.25
  5. Step 5: Solve for x
    x = 9,432,391,520.25/60,794.44
  6. Step 6: Final answer
    x = 155,152.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.