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Finding the Third Proportional to 75,141 and 105,057

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Solution

The third proportional to 75,141 and 105,057 is: 146,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141 : 105,057 = 105,057 : x
  2. Step 2: Convert to fraction form
    75,141/105,057 = 105,057/x
  3. Step 3: Cross multiply
    75,141x = 105,057 × 105,057
  4. Step 4: Simplify right side
    75,141x = 11,036,973,249
  5. Step 5: Solve for x
    x = 11,036,973,249/75,141
  6. Step 6: Final answer
    x = 146,883.50

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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.