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Finding the Third Proportional to 93,298.50 and 140,415.75

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Solution

The third proportional to 93,298.50 and 140,415.75 is: 211,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,298.50 : 140,415.75 = 140,415.75 : x
  2. Step 2: Convert to fraction form
    93,298.50/140,415.75 = 140,415.75/x
  3. Step 3: Cross multiply
    93,298.50x = 140,415.75 × 140,415.75
  4. Step 4: Simplify right side
    93,298.50x = 19,716,582,848.06
  5. Step 5: Solve for x
    x = 19,716,582,848.06/93,298.50
  6. Step 6: Final answer
    x = 211,327.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.