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Finding the Third Proportional to 93,213.56 and 143,357.06

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Solution

The third proportional to 93,213.56 and 143,357.06 is: 220,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,213.56 : 143,357.06 = 143,357.06 : x
  2. Step 2: Convert to fraction form
    93,213.56/143,357.06 = 143,357.06/x
  3. Step 3: Cross multiply
    93,213.56x = 143,357.06 × 143,357.06
  4. Step 4: Simplify right side
    93,213.56x = 20,551,247,368.63
  5. Step 5: Solve for x
    x = 20,551,247,368.63/93,213.56
  6. Step 6: Final answer
    x = 220,474.86

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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.