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Finding the Third Proportional to 48,303 and 102,033

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Solution

The third proportional to 48,303 and 102,033 is: 215,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,303 : 102,033 = 102,033 : x
  2. Step 2: Convert to fraction form
    48,303/102,033 = 102,033/x
  3. Step 3: Cross multiply
    48,303x = 102,033 × 102,033
  4. Step 4: Simplify right side
    48,303x = 10,410,733,089
  5. Step 5: Solve for x
    x = 10,410,733,089/48,303
  6. Step 6: Final answer
    x = 215,529.74

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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.