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Finding the Third Proportional to 48,157 and 104,535

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Solution

The third proportional to 48,157 and 104,535 is: 226,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,157 : 104,535 = 104,535 : x
  2. Step 2: Convert to fraction form
    48,157/104,535 = 104,535/x
  3. Step 3: Cross multiply
    48,157x = 104,535 × 104,535
  4. Step 4: Simplify right side
    48,157x = 10,927,566,225
  5. Step 5: Solve for x
    x = 10,927,566,225/48,157
  6. Step 6: Final answer
    x = 226,915.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.