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Finding the Third Proportional to 73,095 and 159,858

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Solution

The third proportional to 73,095 and 159,858 is: 349,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095 : 159,858 = 159,858 : x
  2. Step 2: Convert to fraction form
    73,095/159,858 = 159,858/x
  3. Step 3: Cross multiply
    73,095x = 159,858 × 159,858
  4. Step 4: Simplify right side
    73,095x = 25,554,580,164
  5. Step 5: Solve for x
    x = 25,554,580,164/73,095
  6. Step 6: Final answer
    x = 349,607.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.