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Finding the Third Proportional to 46,895 and 101,122

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Solution

The third proportional to 46,895 and 101,122 is: 218,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,895 : 101,122 = 101,122 : x
  2. Step 2: Convert to fraction form
    46,895/101,122 = 101,122/x
  3. Step 3: Cross multiply
    46,895x = 101,122 × 101,122
  4. Step 4: Simplify right side
    46,895x = 10,225,658,884
  5. Step 5: Solve for x
    x = 10,225,658,884/46,895
  6. Step 6: Final answer
    x = 218,054.35

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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.