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Finding the Third Proportional to 45,888 and 101,603

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Solution

The third proportional to 45,888 and 101,603 is: 224,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,888 : 101,603 = 101,603 : x
  2. Step 2: Convert to fraction form
    45,888/101,603 = 101,603/x
  3. Step 3: Cross multiply
    45,888x = 101,603 × 101,603
  4. Step 4: Simplify right side
    45,888x = 10,323,169,609
  5. Step 5: Solve for x
    x = 10,323,169,609/45,888
  6. Step 6: Final answer
    x = 224,964.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.