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Finding the Third Proportional to 62,433 and 96,773

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Solution

The third proportional to 62,433 and 96,773 is: 150,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,433 : 96,773 = 96,773 : x
  2. Step 2: Convert to fraction form
    62,433/96,773 = 96,773/x
  3. Step 3: Cross multiply
    62,433x = 96,773 × 96,773
  4. Step 4: Simplify right side
    62,433x = 9,365,013,529
  5. Step 5: Solve for x
    x = 9,365,013,529/62,433
  6. Step 6: Final answer
    x = 150,001.02

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Why These Related Problems?

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