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Finding the Third Proportional to 45,700 and 69,126

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Solution

The third proportional to 45,700 and 69,126 is: 104,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,700 : 69,126 = 69,126 : x
  2. Step 2: Convert to fraction form
    45,700/69,126 = 69,126/x
  3. Step 3: Cross multiply
    45,700x = 69,126 × 69,126
  4. Step 4: Simplify right side
    45,700x = 4,778,403,876
  5. Step 5: Solve for x
    x = 4,778,403,876/45,700
  6. Step 6: Final answer
    x = 104,560.26

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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.