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Finding the Third Proportional to 61,562 and 133,907

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Solution

The third proportional to 61,562 and 133,907 is: 291,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,562 : 133,907 = 133,907 : x
  2. Step 2: Convert to fraction form
    61,562/133,907 = 133,907/x
  3. Step 3: Cross multiply
    61,562x = 133,907 × 133,907
  4. Step 4: Simplify right side
    61,562x = 17,931,084,649
  5. Step 5: Solve for x
    x = 17,931,084,649/61,562
  6. Step 6: Final answer
    x = 291,268.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.