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Finding the Third Proportional to 48,660 and 105,316

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Solution

The third proportional to 48,660 and 105,316 is: 227,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,660 : 105,316 = 105,316 : x
  2. Step 2: Convert to fraction form
    48,660/105,316 = 105,316/x
  3. Step 3: Cross multiply
    48,660x = 105,316 × 105,316
  4. Step 4: Simplify right side
    48,660x = 11,091,459,856
  5. Step 5: Solve for x
    x = 11,091,459,856/48,660
  6. Step 6: Final answer
    x = 227,937.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.