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Finding the Third Proportional to 45,106 and 97,897

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Solution

The third proportional to 45,106 and 97,897 is: 212,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,106 : 97,897 = 97,897 : x
  2. Step 2: Convert to fraction form
    45,106/97,897 = 97,897/x
  3. Step 3: Cross multiply
    45,106x = 97,897 × 97,897
  4. Step 4: Simplify right side
    45,106x = 9,583,822,609
  5. Step 5: Solve for x
    x = 9,583,822,609/45,106
  6. Step 6: Final answer
    x = 212,473.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.