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Finding the Third Proportional to 46,030 and 100,672

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Solution

The third proportional to 46,030 and 100,672 is: 220,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,030 : 100,672 = 100,672 : x
  2. Step 2: Convert to fraction form
    46,030/100,672 = 100,672/x
  3. Step 3: Cross multiply
    46,030x = 100,672 × 100,672
  4. Step 4: Simplify right side
    46,030x = 10,134,851,584
  5. Step 5: Solve for x
    x = 10,134,851,584/46,030
  6. Step 6: Final answer
    x = 220,179.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.