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Finding the Third Proportional to 103,464 and 192,159

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Solution

The third proportional to 103,464 and 192,159 is: 356,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464 : 192,159 = 192,159 : x
  2. Step 2: Convert to fraction form
    103,464/192,159 = 192,159/x
  3. Step 3: Cross multiply
    103,464x = 192,159 × 192,159
  4. Step 4: Simplify right side
    103,464x = 36,925,081,281
  5. Step 5: Solve for x
    x = 36,925,081,281/103,464
  6. Step 6: Final answer
    x = 356,888.21

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.