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Finding the Third Proportional to 103,054 and 217,178

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Solution

The third proportional to 103,054 and 217,178 is: 457,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,054 : 217,178 = 217,178 : x
  2. Step 2: Convert to fraction form
    103,054/217,178 = 217,178/x
  3. Step 3: Cross multiply
    103,054x = 217,178 × 217,178
  4. Step 4: Simplify right side
    103,054x = 47,166,283,684
  5. Step 5: Solve for x
    x = 47,166,283,684/103,054
  6. Step 6: Final answer
    x = 457,685.13

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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.