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Finding the Third Proportional to 93,317 and 143,432

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Solution

The third proportional to 93,317 and 143,432 is: 220,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,317 : 143,432 = 143,432 : x
  2. Step 2: Convert to fraction form
    93,317/143,432 = 143,432/x
  3. Step 3: Cross multiply
    93,317x = 143,432 × 143,432
  4. Step 4: Simplify right side
    93,317x = 20,572,738,624
  5. Step 5: Solve for x
    x = 20,572,738,624/93,317
  6. Step 6: Final answer
    x = 220,460.78

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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.