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Finding the Third Proportional to 52,842 and 71,973

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Solution

The third proportional to 52,842 and 71,973 is: 98,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842 : 71,973 = 71,973 : x
  2. Step 2: Convert to fraction form
    52,842/71,973 = 71,973/x
  3. Step 3: Cross multiply
    52,842x = 71,973 × 71,973
  4. Step 4: Simplify right side
    52,842x = 5,180,112,729
  5. Step 5: Solve for x
    x = 5,180,112,729/52,842
  6. Step 6: Final answer
    x = 98,030.22

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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.