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Finding the Third Proportional to 105,069 and 157,710

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Solution

The third proportional to 105,069 and 157,710 is: 236,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,069 : 157,710 = 157,710 : x
  2. Step 2: Convert to fraction form
    105,069/157,710 = 157,710/x
  3. Step 3: Cross multiply
    105,069x = 157,710 × 157,710
  4. Step 4: Simplify right side
    105,069x = 24,872,444,100
  5. Step 5: Solve for x
    x = 24,872,444,100/105,069
  6. Step 6: Final answer
    x = 236,724.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.