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Finding the Third Proportional to 93,091 and 143,850

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Solution

The third proportional to 93,091 and 143,850 is: 222,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,091 : 143,850 = 143,850 : x
  2. Step 2: Convert to fraction form
    93,091/143,850 = 143,850/x
  3. Step 3: Cross multiply
    93,091x = 143,850 × 143,850
  4. Step 4: Simplify right side
    93,091x = 20,692,822,500
  5. Step 5: Solve for x
    x = 20,692,822,500/93,091
  6. Step 6: Final answer
    x = 222,285.96

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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.