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Finding the Third Proportional to 47,645 and 101,617

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Solution

The third proportional to 47,645 and 101,617 is: 216,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,645 : 101,617 = 101,617 : x
  2. Step 2: Convert to fraction form
    47,645/101,617 = 101,617/x
  3. Step 3: Cross multiply
    47,645x = 101,617 × 101,617
  4. Step 4: Simplify right side
    47,645x = 10,326,014,689
  5. Step 5: Solve for x
    x = 10,326,014,689/47,645
  6. Step 6: Final answer
    x = 216,728.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.