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Finding the Third Proportional to 105,057 and 160,015.50

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Solution

The third proportional to 105,057 and 160,015.50 is: 243,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057 : 160,015.50 = 160,015.50 : x
  2. Step 2: Convert to fraction form
    105,057/160,015.50 = 160,015.50/x
  3. Step 3: Cross multiply
    105,057x = 160,015.50 × 160,015.50
  4. Step 4: Simplify right side
    105,057x = 25,604,960,240.25
  5. Step 5: Solve for x
    x = 25,604,960,240.25/105,057
  6. Step 6: Final answer
    x = 243,724.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.