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Finding the Third Proportional to 93,985 and 143,954

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Solution

The third proportional to 93,985 and 143,954 is: 220,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,985 : 143,954 = 143,954 : x
  2. Step 2: Convert to fraction form
    93,985/143,954 = 143,954/x
  3. Step 3: Cross multiply
    93,985x = 143,954 × 143,954
  4. Step 4: Simplify right side
    93,985x = 20,722,754,116
  5. Step 5: Solve for x
    x = 20,722,754,116/93,985
  6. Step 6: Final answer
    x = 220,490.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.