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Finding the Third Proportional to 45,819 and 97,065

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Solution

The third proportional to 45,819 and 97,065 is: 205,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,819 : 97,065 = 97,065 : x
  2. Step 2: Convert to fraction form
    45,819/97,065 = 97,065/x
  3. Step 3: Cross multiply
    45,819x = 97,065 × 97,065
  4. Step 4: Simplify right side
    45,819x = 9,421,614,225
  5. Step 5: Solve for x
    x = 9,421,614,225/45,819
  6. Step 6: Final answer
    x = 205,626.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.