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Finding the Third Proportional to 47,768 and 104,032

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Solution

The third proportional to 47,768 and 104,032 is: 226,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768 : 104,032 = 104,032 : x
  2. Step 2: Convert to fraction form
    47,768/104,032 = 104,032/x
  3. Step 3: Cross multiply
    47,768x = 104,032 × 104,032
  4. Step 4: Simplify right side
    47,768x = 10,822,657,024
  5. Step 5: Solve for x
    x = 10,822,657,024/47,768
  6. Step 6: Final answer
    x = 226,567.10

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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.