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Finding the Third Proportional to 53,109 and 72,164.25

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Solution

The third proportional to 53,109 and 72,164.25 is: 98,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,109 : 72,164.25 = 72,164.25 : x
  2. Step 2: Convert to fraction form
    53,109/72,164.25 = 72,164.25/x
  3. Step 3: Cross multiply
    53,109x = 72,164.25 × 72,164.25
  4. Step 4: Simplify right side
    53,109x = 5,207,678,978.06
  5. Step 5: Solve for x
    x = 5,207,678,978.06/53,109
  6. Step 6: Final answer
    x = 98,056.43

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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.