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Finding the Third Proportional to 48,306 and 102,039

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Solution

The third proportional to 48,306 and 102,039 is: 215,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,306 : 102,039 = 102,039 : x
  2. Step 2: Convert to fraction form
    48,306/102,039 = 102,039/x
  3. Step 3: Cross multiply
    48,306x = 102,039 × 102,039
  4. Step 4: Simplify right side
    48,306x = 10,411,957,521
  5. Step 5: Solve for x
    x = 10,411,957,521/48,306
  6. Step 6: Final answer
    x = 215,541.70

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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.