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Finding the Third Proportional to 55,097 and 81,835

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Solution

The third proportional to 55,097 and 81,835 is: 121,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,097 : 81,835 = 81,835 : x
  2. Step 2: Convert to fraction form
    55,097/81,835 = 81,835/x
  3. Step 3: Cross multiply
    55,097x = 81,835 × 81,835
  4. Step 4: Simplify right side
    55,097x = 6,696,967,225
  5. Step 5: Solve for x
    x = 6,696,967,225/55,097
  6. Step 6: Final answer
    x = 121,548.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.