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Finding the Third Proportional to 46,752 and 100,148

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Solution

The third proportional to 46,752 and 100,148 is: 214,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752 : 100,148 = 100,148 : x
  2. Step 2: Convert to fraction form
    46,752/100,148 = 100,148/x
  3. Step 3: Cross multiply
    46,752x = 100,148 × 100,148
  4. Step 4: Simplify right side
    46,752x = 10,029,621,904
  5. Step 5: Solve for x
    x = 10,029,621,904/46,752
  6. Step 6: Final answer
    x = 214,528.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.