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Finding the Third Proportional to 52,913 and 82,101

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Solution

The third proportional to 52,913 and 82,101 is: 127,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,913 : 82,101 = 82,101 : x
  2. Step 2: Convert to fraction form
    52,913/82,101 = 82,101/x
  3. Step 3: Cross multiply
    52,913x = 82,101 × 82,101
  4. Step 4: Simplify right side
    52,913x = 6,740,574,201
  5. Step 5: Solve for x
    x = 6,740,574,201/52,913
  6. Step 6: Final answer
    x = 127,389.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.