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Finding the Third Proportional to 48,692 and 106,316

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Solution

The third proportional to 48,692 and 106,316 is: 232,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,692 : 106,316 = 106,316 : x
  2. Step 2: Convert to fraction form
    48,692/106,316 = 106,316/x
  3. Step 3: Cross multiply
    48,692x = 106,316 × 106,316
  4. Step 4: Simplify right side
    48,692x = 11,303,091,856
  5. Step 5: Solve for x
    x = 11,303,091,856/48,692
  6. Step 6: Final answer
    x = 232,134.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.