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Finding the Third Proportional to 46,946 and 101,292

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Solution

The third proportional to 46,946 and 101,292 is: 218,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,946 : 101,292 = 101,292 : x
  2. Step 2: Convert to fraction form
    46,946/101,292 = 101,292/x
  3. Step 3: Cross multiply
    46,946x = 101,292 × 101,292
  4. Step 4: Simplify right side
    46,946x = 10,260,069,264
  5. Step 5: Solve for x
    x = 10,260,069,264/46,946
  6. Step 6: Final answer
    x = 218,550.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.