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Finding the Third Proportional to 93,432 and 143,606

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Solution

The third proportional to 93,432 and 143,606 is: 220,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,432 : 143,606 = 143,606 : x
  2. Step 2: Convert to fraction form
    93,432/143,606 = 143,606/x
  3. Step 3: Cross multiply
    93,432x = 143,606 × 143,606
  4. Step 4: Simplify right side
    93,432x = 20,622,683,236
  5. Step 5: Solve for x
    x = 20,622,683,236/93,432
  6. Step 6: Final answer
    x = 220,723.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.