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Finding the Third Proportional to 73,328 and 116,556

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Solution

The third proportional to 73,328 and 116,556 is: 185,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,328 : 116,556 = 116,556 : x
  2. Step 2: Convert to fraction form
    73,328/116,556 = 116,556/x
  3. Step 3: Cross multiply
    73,328x = 116,556 × 116,556
  4. Step 4: Simplify right side
    73,328x = 13,585,301,136
  5. Step 5: Solve for x
    x = 13,585,301,136/73,328
  6. Step 6: Final answer
    x = 185,267.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.