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Finding the Third Proportional to 46,554 and 101,207

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Solution

The third proportional to 46,554 and 101,207 is: 220,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,554 : 101,207 = 101,207 : x
  2. Step 2: Convert to fraction form
    46,554/101,207 = 101,207/x
  3. Step 3: Cross multiply
    46,554x = 101,207 × 101,207
  4. Step 4: Simplify right side
    46,554x = 10,242,856,849
  5. Step 5: Solve for x
    x = 10,242,856,849/46,554
  6. Step 6: Final answer
    x = 220,020.98

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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.