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Finding the Third Proportional to 46,602 and 101,304

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Solution

The third proportional to 46,602 and 101,304 is: 220,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,602 : 101,304 = 101,304 : x
  2. Step 2: Convert to fraction form
    46,602/101,304 = 101,304/x
  3. Step 3: Cross multiply
    46,602x = 101,304 × 101,304
  4. Step 4: Simplify right side
    46,602x = 10,262,500,416
  5. Step 5: Solve for x
    x = 10,262,500,416/46,602
  6. Step 6: Final answer
    x = 220,215.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.