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Finding the Third Proportional to 76,258 and 110,013

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Solution

The third proportional to 76,258 and 110,013 is: 158,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,258 : 110,013 = 110,013 : x
  2. Step 2: Convert to fraction form
    76,258/110,013 = 110,013/x
  3. Step 3: Cross multiply
    76,258x = 110,013 × 110,013
  4. Step 4: Simplify right side
    76,258x = 12,102,860,169
  5. Step 5: Solve for x
    x = 12,102,860,169/76,258
  6. Step 6: Final answer
    x = 158,709.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.