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Finding the Third Proportional to 74,128.50 and 111,834

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Solution

The third proportional to 74,128.50 and 111,834 is: 168,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,128.50 : 111,834 = 111,834 : x
  2. Step 2: Convert to fraction form
    74,128.50/111,834 = 111,834/x
  3. Step 3: Cross multiply
    74,128.50x = 111,834 × 111,834
  4. Step 4: Simplify right side
    74,128.50x = 12,506,843,556
  5. Step 5: Solve for x
    x = 12,506,843,556/74,128.50
  6. Step 6: Final answer
    x = 168,718.42

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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.