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Finding the Third Proportional to 103,064 and 217,200

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Solution

The third proportional to 103,064 and 217,200 is: 457,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,064 : 217,200 = 217,200 : x
  2. Step 2: Convert to fraction form
    103,064/217,200 = 217,200/x
  3. Step 3: Cross multiply
    103,064x = 217,200 × 217,200
  4. Step 4: Simplify right side
    103,064x = 47,175,840,000
  5. Step 5: Solve for x
    x = 47,175,840,000/103,064
  6. Step 6: Final answer
    x = 457,733.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.