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Finding the Third Proportional to 93,613 and 140,514

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Solution

The third proportional to 93,613 and 140,514 is: 210,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,613 : 140,514 = 140,514 : x
  2. Step 2: Convert to fraction form
    93,613/140,514 = 140,514/x
  3. Step 3: Cross multiply
    93,613x = 140,514 × 140,514
  4. Step 4: Simplify right side
    93,613x = 19,744,184,196
  5. Step 5: Solve for x
    x = 19,744,184,196/93,613
  6. Step 6: Final answer
    x = 210,912.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.