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Finding the Third Proportional to 45,705 and 69,044

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Solution

The third proportional to 45,705 and 69,044 is: 104,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,705 : 69,044 = 69,044 : x
  2. Step 2: Convert to fraction form
    45,705/69,044 = 69,044/x
  3. Step 3: Cross multiply
    45,705x = 69,044 × 69,044
  4. Step 4: Simplify right side
    45,705x = 4,767,073,936
  5. Step 5: Solve for x
    x = 4,767,073,936/45,705
  6. Step 6: Final answer
    x = 104,300.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.