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Finding the Third Proportional to 48,305 and 102,037

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Solution

The third proportional to 48,305 and 102,037 is: 215,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,305 : 102,037 = 102,037 : x
  2. Step 2: Convert to fraction form
    48,305/102,037 = 102,037/x
  3. Step 3: Cross multiply
    48,305x = 102,037 × 102,037
  4. Step 4: Simplify right side
    48,305x = 10,411,549,369
  5. Step 5: Solve for x
    x = 10,411,549,369/48,305
  6. Step 6: Final answer
    x = 215,537.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.