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Finding the Third Proportional to 125,178 and 192,141

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Solution

The third proportional to 125,178 and 192,141 is: 294,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,178 : 192,141 = 192,141 : x
  2. Step 2: Convert to fraction form
    125,178/192,141 = 192,141/x
  3. Step 3: Cross multiply
    125,178x = 192,141 × 192,141
  4. Step 4: Simplify right side
    125,178x = 36,918,163,881
  5. Step 5: Solve for x
    x = 36,918,163,881/125,178
  6. Step 6: Final answer
    x = 294,925.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.