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Finding the Third Proportional to 68,217 and 105,242

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Solution

The third proportional to 68,217 and 105,242 is: 162,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,217 : 105,242 = 105,242 : x
  2. Step 2: Convert to fraction form
    68,217/105,242 = 105,242/x
  3. Step 3: Cross multiply
    68,217x = 105,242 × 105,242
  4. Step 4: Simplify right side
    68,217x = 11,075,878,564
  5. Step 5: Solve for x
    x = 11,075,878,564/68,217
  6. Step 6: Final answer
    x = 162,362.44

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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.