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Finding the Third Proportional to 34,617 and 75,065

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Solution

The third proportional to 34,617 and 75,065 is: 162,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,617 : 75,065 = 75,065 : x
  2. Step 2: Convert to fraction form
    34,617/75,065 = 75,065/x
  3. Step 3: Cross multiply
    34,617x = 75,065 × 75,065
  4. Step 4: Simplify right side
    34,617x = 5,634,754,225
  5. Step 5: Solve for x
    x = 5,634,754,225/34,617
  6. Step 6: Final answer
    x = 162,774.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.