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Finding the Third Proportional to 34,906 and 77,552

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Solution

The third proportional to 34,906 and 77,552 is: 172,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,906 : 77,552 = 77,552 : x
  2. Step 2: Convert to fraction form
    34,906/77,552 = 77,552/x
  3. Step 3: Cross multiply
    34,906x = 77,552 × 77,552
  4. Step 4: Simplify right side
    34,906x = 6,014,312,704
  5. Step 5: Solve for x
    x = 6,014,312,704/34,906
  6. Step 6: Final answer
    x = 172,300.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.