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Finding the Third Proportional to 93,342.75 and 141,745.13

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Solution

The third proportional to 93,342.75 and 141,745.13 is: 215,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,342.75 : 141,745.13 = 141,745.13 : x
  2. Step 2: Convert to fraction form
    93,342.75/141,745.13 = 141,745.13/x
  3. Step 3: Cross multiply
    93,342.75x = 141,745.13 × 141,745.13
  4. Step 4: Simplify right side
    93,342.75x = 20,091,680,461.27
  5. Step 5: Solve for x
    x = 20,091,680,461.27/93,342.75
  6. Step 6: Final answer
    x = 215,246.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.