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Finding the Third Proportional to 34,346 and 70,897

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Solution

The third proportional to 34,346 and 70,897 is: 146,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346 : 70,897 = 70,897 : x
  2. Step 2: Convert to fraction form
    34,346/70,897 = 70,897/x
  3. Step 3: Cross multiply
    34,346x = 70,897 × 70,897
  4. Step 4: Simplify right side
    34,346x = 5,026,384,609
  5. Step 5: Solve for x
    x = 5,026,384,609/34,346
  6. Step 6: Final answer
    x = 146,345.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.