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Finding the Third Proportional to 78,738 and 118,701

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Solution

The third proportional to 78,738 and 118,701 is: 178,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,738 : 118,701 = 118,701 : x
  2. Step 2: Convert to fraction form
    78,738/118,701 = 118,701/x
  3. Step 3: Cross multiply
    78,738x = 118,701 × 118,701
  4. Step 4: Simplify right side
    78,738x = 14,089,927,401
  5. Step 5: Solve for x
    x = 14,089,927,401/78,738
  6. Step 6: Final answer
    x = 178,946.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.