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Finding the Third Proportional to 45,904 and 97,276

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Solution

The third proportional to 45,904 and 97,276 is: 206,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904 : 97,276 = 97,276 : x
  2. Step 2: Convert to fraction form
    45,904/97,276 = 97,276/x
  3. Step 3: Cross multiply
    45,904x = 97,276 × 97,276
  4. Step 4: Simplify right side
    45,904x = 9,462,620,176
  5. Step 5: Solve for x
    x = 9,462,620,176/45,904
  6. Step 6: Final answer
    x = 206,139.34

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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.