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Finding the Third Proportional to 61,809 and 133,095

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Solution

The third proportional to 61,809 and 133,095 is: 286,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,809 : 133,095 = 133,095 : x
  2. Step 2: Convert to fraction form
    61,809/133,095 = 133,095/x
  3. Step 3: Cross multiply
    61,809x = 133,095 × 133,095
  4. Step 4: Simplify right side
    61,809x = 17,714,279,025
  5. Step 5: Solve for x
    x = 17,714,279,025/61,809
  6. Step 6: Final answer
    x = 286,597.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.