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Finding the Third Proportional to 48,160 and 102,928

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Solution

The third proportional to 48,160 and 102,928 is: 219,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,160 : 102,928 = 102,928 : x
  2. Step 2: Convert to fraction form
    48,160/102,928 = 102,928/x
  3. Step 3: Cross multiply
    48,160x = 102,928 × 102,928
  4. Step 4: Simplify right side
    48,160x = 10,594,173,184
  5. Step 5: Solve for x
    x = 10,594,173,184/48,160
  6. Step 6: Final answer
    x = 219,978.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.