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Finding the Third Proportional to 45,726 and 110,148

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Solution

The third proportional to 45,726 and 110,148 is: 265,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,726 : 110,148 = 110,148 : x
  2. Step 2: Convert to fraction form
    45,726/110,148 = 110,148/x
  3. Step 3: Cross multiply
    45,726x = 110,148 × 110,148
  4. Step 4: Simplify right side
    45,726x = 12,132,581,904
  5. Step 5: Solve for x
    x = 12,132,581,904/45,726
  6. Step 6: Final answer
    x = 265,332.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.