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Finding the Third Proportional to 47,653 and 101,639

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Solution

The third proportional to 47,653 and 101,639 is: 216,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,653 : 101,639 = 101,639 : x
  2. Step 2: Convert to fraction form
    47,653/101,639 = 101,639/x
  3. Step 3: Cross multiply
    47,653x = 101,639 × 101,639
  4. Step 4: Simplify right side
    47,653x = 10,330,486,321
  5. Step 5: Solve for x
    x = 10,330,486,321/47,653
  6. Step 6: Final answer
    x = 216,785.64

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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.