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Finding the Third Proportional to 105,018 and 159,468.75

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Solution

The third proportional to 105,018 and 159,468.75 is: 242,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,018 : 159,468.75 = 159,468.75 : x
  2. Step 2: Convert to fraction form
    105,018/159,468.75 = 159,468.75/x
  3. Step 3: Cross multiply
    105,018x = 159,468.75 × 159,468.75
  4. Step 4: Simplify right side
    105,018x = 25,430,282,226.56
  5. Step 5: Solve for x
    x = 25,430,282,226.56/105,018
  6. Step 6: Final answer
    x = 242,151.65

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Why These Related Problems?

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