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Finding the Third Proportional to 97,858.76 and 143,282.67

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Solution

The third proportional to 97,858.76 and 143,282.67 is: 209,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.76 : 143,282.67 = 143,282.67 : x
  2. Step 2: Convert to fraction form
    97,858.76/143,282.67 = 143,282.67/x
  3. Step 3: Cross multiply
    97,858.76x = 143,282.67 × 143,282.67
  4. Step 4: Simplify right side
    97,858.76x = 20,529,924,059.64
  5. Step 5: Solve for x
    x = 20,529,924,059.64/97,858.76
  6. Step 6: Final answer
    x = 209,791.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.