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Finding the Third Proportional to 53,095 and 80,053

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Solution

The third proportional to 53,095 and 80,053 is: 120,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095 : 80,053 = 80,053 : x
  2. Step 2: Convert to fraction form
    53,095/80,053 = 80,053/x
  3. Step 3: Cross multiply
    53,095x = 80,053 × 80,053
  4. Step 4: Simplify right side
    53,095x = 6,408,482,809
  5. Step 5: Solve for x
    x = 6,408,482,809/53,095
  6. Step 6: Final answer
    x = 120,698.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.