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Finding the Third Proportional to 45,905 and 97,278

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Solution

The third proportional to 45,905 and 97,278 is: 206,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905 : 97,278 = 97,278 : x
  2. Step 2: Convert to fraction form
    45,905/97,278 = 97,278/x
  3. Step 3: Cross multiply
    45,905x = 97,278 × 97,278
  4. Step 4: Simplify right side
    45,905x = 9,463,009,284
  5. Step 5: Solve for x
    x = 9,463,009,284/45,905
  6. Step 6: Final answer
    x = 206,143.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.