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Finding the Third Proportional to 93,097 and 143,858

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Solution

The third proportional to 93,097 and 143,858 is: 222,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,097 : 143,858 = 143,858 : x
  2. Step 2: Convert to fraction form
    93,097/143,858 = 143,858/x
  3. Step 3: Cross multiply
    93,097x = 143,858 × 143,858
  4. Step 4: Simplify right side
    93,097x = 20,695,124,164
  5. Step 5: Solve for x
    x = 20,695,124,164/93,097
  6. Step 6: Final answer
    x = 222,296.36

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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.