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Finding the Third Proportional to 53,050 and 72,090.50

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Solution

The third proportional to 53,050 and 72,090.50 is: 97,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050 : 72,090.50 = 72,090.50 : x
  2. Step 2: Convert to fraction form
    53,050/72,090.50 = 72,090.50/x
  3. Step 3: Cross multiply
    53,050x = 72,090.50 × 72,090.50
  4. Step 4: Simplify right side
    53,050x = 5,197,040,190.25
  5. Step 5: Solve for x
    x = 5,197,040,190.25/53,050
  6. Step 6: Final answer
    x = 97,964.94

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