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Finding the Third Proportional to 85,346 and 133,887

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Solution

The third proportional to 85,346 and 133,887 is: 210,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,346 : 133,887 = 133,887 : x
  2. Step 2: Convert to fraction form
    85,346/133,887 = 133,887/x
  3. Step 3: Cross multiply
    85,346x = 133,887 × 133,887
  4. Step 4: Simplify right side
    85,346x = 17,925,728,769
  5. Step 5: Solve for x
    x = 17,925,728,769/85,346
  6. Step 6: Final answer
    x = 210,035.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.