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Finding the Third Proportional to 56,608 and 118,724

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Solution

The third proportional to 56,608 and 118,724 is: 248,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,608 : 118,724 = 118,724 : x
  2. Step 2: Convert to fraction form
    56,608/118,724 = 118,724/x
  3. Step 3: Cross multiply
    56,608x = 118,724 × 118,724
  4. Step 4: Simplify right side
    56,608x = 14,095,388,176
  5. Step 5: Solve for x
    x = 14,095,388,176/56,608
  6. Step 6: Final answer
    x = 248,999.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.