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Finding the Third Proportional to 93,095 and 143,855

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Solution

The third proportional to 93,095 and 143,855 is: 222,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,095 : 143,855 = 143,855 : x
  2. Step 2: Convert to fraction form
    93,095/143,855 = 143,855/x
  3. Step 3: Cross multiply
    93,095x = 143,855 × 143,855
  4. Step 4: Simplify right side
    93,095x = 20,694,261,025
  5. Step 5: Solve for x
    x = 20,694,261,025/93,095
  6. Step 6: Final answer
    x = 222,291.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.