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Finding the Third Proportional to 73,336 and 110,166

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Solution

The third proportional to 73,336 and 110,166 is: 165,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,336 : 110,166 = 110,166 : x
  2. Step 2: Convert to fraction form
    73,336/110,166 = 110,166/x
  3. Step 3: Cross multiply
    73,336x = 110,166 × 110,166
  4. Step 4: Simplify right side
    73,336x = 12,136,547,556
  5. Step 5: Solve for x
    x = 12,136,547,556/73,336
  6. Step 6: Final answer
    x = 165,492.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.