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Finding the Third Proportional to 63,746 and 140,076

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Solution

The third proportional to 63,746 and 140,076 is: 307,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,746 : 140,076 = 140,076 : x
  2. Step 2: Convert to fraction form
    63,746/140,076 = 140,076/x
  3. Step 3: Cross multiply
    63,746x = 140,076 × 140,076
  4. Step 4: Simplify right side
    63,746x = 19,621,285,776
  5. Step 5: Solve for x
    x = 19,621,285,776/63,746
  6. Step 6: Final answer
    x = 307,804.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.