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Finding the Third Proportional to 60,106.50 and 129,847.50

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Solution

The third proportional to 60,106.50 and 129,847.50 is: 280,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,106.50 : 129,847.50 = 129,847.50 : x
  2. Step 2: Convert to fraction form
    60,106.50/129,847.50 = 129,847.50/x
  3. Step 3: Cross multiply
    60,106.50x = 129,847.50 × 129,847.50
  4. Step 4: Simplify right side
    60,106.50x = 16,860,373,256.25
  5. Step 5: Solve for x
    x = 16,860,373,256.25/60,106.50
  6. Step 6: Final answer
    x = 280,508.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.