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Finding the Third Proportional to 71,308 and 110,906

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Solution

The third proportional to 71,308 and 110,906 is: 172,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,308 : 110,906 = 110,906 : x
  2. Step 2: Convert to fraction form
    71,308/110,906 = 110,906/x
  3. Step 3: Cross multiply
    71,308x = 110,906 × 110,906
  4. Step 4: Simplify right side
    71,308x = 12,300,140,836
  5. Step 5: Solve for x
    x = 12,300,140,836/71,308
  6. Step 6: Final answer
    x = 172,493.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.