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Finding the Third Proportional to 103,002 and 217,076

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Solution

The third proportional to 103,002 and 217,076 is: 457,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,002 : 217,076 = 217,076 : x
  2. Step 2: Convert to fraction form
    103,002/217,076 = 217,076/x
  3. Step 3: Cross multiply
    103,002x = 217,076 × 217,076
  4. Step 4: Simplify right side
    103,002x = 47,121,989,776
  5. Step 5: Solve for x
    x = 47,121,989,776/103,002
  6. Step 6: Final answer
    x = 457,486.16

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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.