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Finding the Third Proportional to 47,798 and 101,290

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Solution

The third proportional to 47,798 and 101,290 is: 214,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798 : 101,290 = 101,290 : x
  2. Step 2: Convert to fraction form
    47,798/101,290 = 101,290/x
  3. Step 3: Cross multiply
    47,798x = 101,290 × 101,290
  4. Step 4: Simplify right side
    47,798x = 10,259,664,100
  5. Step 5: Solve for x
    x = 10,259,664,100/47,798
  6. Step 6: Final answer
    x = 214,646.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.