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Finding the Third Proportional to 53,052 and 72,093

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Solution

The third proportional to 53,052 and 72,093 is: 97,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,052 : 72,093 = 72,093 : x
  2. Step 2: Convert to fraction form
    53,052/72,093 = 72,093/x
  3. Step 3: Cross multiply
    53,052x = 72,093 × 72,093
  4. Step 4: Simplify right side
    53,052x = 5,197,400,649
  5. Step 5: Solve for x
    x = 5,197,400,649/53,052
  6. Step 6: Final answer
    x = 97,968.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.