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Finding the Third Proportional to 44,070 and 68,049

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Solution

The third proportional to 44,070 and 68,049 is: 105,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,070 : 68,049 = 68,049 : x
  2. Step 2: Convert to fraction form
    44,070/68,049 = 68,049/x
  3. Step 3: Cross multiply
    44,070x = 68,049 × 68,049
  4. Step 4: Simplify right side
    44,070x = 4,630,666,401
  5. Step 5: Solve for x
    x = 4,630,666,401/44,070
  6. Step 6: Final answer
    x = 105,075.25

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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.