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Finding the Third Proportional to 45,474 and 97,263

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Solution

The third proportional to 45,474 and 97,263 is: 208,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,474 : 97,263 = 97,263 : x
  2. Step 2: Convert to fraction form
    45,474/97,263 = 97,263/x
  3. Step 3: Cross multiply
    45,474x = 97,263 × 97,263
  4. Step 4: Simplify right side
    45,474x = 9,460,091,169
  5. Step 5: Solve for x
    x = 9,460,091,169/45,474
  6. Step 6: Final answer
    x = 208,032.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.