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Finding the Third Proportional to 93,978 and 143,943.75

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Solution

The third proportional to 93,978 and 143,943.75 is: 220,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,978 : 143,943.75 = 143,943.75 : x
  2. Step 2: Convert to fraction form
    93,978/143,943.75 = 143,943.75/x
  3. Step 3: Cross multiply
    93,978x = 143,943.75 × 143,943.75
  4. Step 4: Simplify right side
    93,978x = 20,719,803,164.06
  5. Step 5: Solve for x
    x = 20,719,803,164.06/93,978
  6. Step 6: Final answer
    x = 220,475.04

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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.