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Finding the Third Proportional to 93,977.25 and 143,943

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Solution

The third proportional to 93,977.25 and 143,943 is: 220,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,977.25 : 143,943 = 143,943 : x
  2. Step 2: Convert to fraction form
    93,977.25/143,943 = 143,943/x
  3. Step 3: Cross multiply
    93,977.25x = 143,943 × 143,943
  4. Step 4: Simplify right side
    93,977.25x = 20,719,587,249
  5. Step 5: Solve for x
    x = 20,719,587,249/93,977.25
  6. Step 6: Final answer
    x = 220,474.50

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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.