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Finding the Third Proportional to 34,617 and 75,309

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Solution

The third proportional to 34,617 and 75,309 is: 163,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,617 : 75,309 = 75,309 : x
  2. Step 2: Convert to fraction form
    34,617/75,309 = 75,309/x
  3. Step 3: Cross multiply
    34,617x = 75,309 × 75,309
  4. Step 4: Simplify right side
    34,617x = 5,671,445,481
  5. Step 5: Solve for x
    x = 5,671,445,481/34,617
  6. Step 6: Final answer
    x = 163,834.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.