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Finding the Third Proportional to 47,127 and 101,635.50

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Solution

The third proportional to 47,127 and 101,635.50 is: 219,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,127 : 101,635.50 = 101,635.50 : x
  2. Step 2: Convert to fraction form
    47,127/101,635.50 = 101,635.50/x
  3. Step 3: Cross multiply
    47,127x = 101,635.50 × 101,635.50
  4. Step 4: Simplify right side
    47,127x = 10,329,774,860.25
  5. Step 5: Solve for x
    x = 10,329,774,860.25/47,127
  6. Step 6: Final answer
    x = 219,190.16

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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.