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Finding the Third Proportional to 75,453 and 162,765

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Solution

The third proportional to 75,453 and 162,765 is: 351,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,453 : 162,765 = 162,765 : x
  2. Step 2: Convert to fraction form
    75,453/162,765 = 162,765/x
  3. Step 3: Cross multiply
    75,453x = 162,765 × 162,765
  4. Step 4: Simplify right side
    75,453x = 26,492,445,225
  5. Step 5: Solve for x
    x = 26,492,445,225/75,453
  6. Step 6: Final answer
    x = 351,111.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.