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Finding the Third Proportional to 72,354 and 111,281

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Solution

The third proportional to 72,354 and 111,281 is: 171,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,354 : 111,281 = 111,281 : x
  2. Step 2: Convert to fraction form
    72,354/111,281 = 111,281/x
  3. Step 3: Cross multiply
    72,354x = 111,281 × 111,281
  4. Step 4: Simplify right side
    72,354x = 12,383,460,961
  5. Step 5: Solve for x
    x = 12,383,460,961/72,354
  6. Step 6: Final answer
    x = 171,151.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.