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Finding the Third Proportional to 46,752 and 101,280

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Solution

The third proportional to 46,752 and 101,280 is: 219,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752 : 101,280 = 101,280 : x
  2. Step 2: Convert to fraction form
    46,752/101,280 = 101,280/x
  3. Step 3: Cross multiply
    46,752x = 101,280 × 101,280
  4. Step 4: Simplify right side
    46,752x = 10,257,638,400
  5. Step 5: Solve for x
    x = 10,257,638,400/46,752
  6. Step 6: Final answer
    x = 219,405.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.