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Finding the Third Proportional to 46,737 and 101,362

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Solution

The third proportional to 46,737 and 101,362 is: 219,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 101,362 = 101,362 : x
  2. Step 2: Convert to fraction form
    46,737/101,362 = 101,362/x
  3. Step 3: Cross multiply
    46,737x = 101,362 × 101,362
  4. Step 4: Simplify right side
    46,737x = 10,274,255,044
  5. Step 5: Solve for x
    x = 10,274,255,044/46,737
  6. Step 6: Final answer
    x = 219,831.29

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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.