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Finding the Third Proportional to 75,192 and 105,124

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Solution

The third proportional to 75,192 and 105,124 is: 146,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192 : 105,124 = 105,124 : x
  2. Step 2: Convert to fraction form
    75,192/105,124 = 105,124/x
  3. Step 3: Cross multiply
    75,192x = 105,124 × 105,124
  4. Step 4: Simplify right side
    75,192x = 11,051,055,376
  5. Step 5: Solve for x
    x = 11,051,055,376/75,192
  6. Step 6: Final answer
    x = 146,971.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.