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Finding the Third Proportional to 93,669 and 146,778

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Solution

The third proportional to 93,669 and 146,778 is: 229,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,669 : 146,778 = 146,778 : x
  2. Step 2: Convert to fraction form
    93,669/146,778 = 146,778/x
  3. Step 3: Cross multiply
    93,669x = 146,778 × 146,778
  4. Step 4: Simplify right side
    93,669x = 21,543,781,284
  5. Step 5: Solve for x
    x = 21,543,781,284/93,669
  6. Step 6: Final answer
    x = 229,999.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.