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Finding the Third Proportional to 55,117 and 118,010

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Solution

The third proportional to 55,117 and 118,010 is: 252,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117 : 118,010 = 118,010 : x
  2. Step 2: Convert to fraction form
    55,117/118,010 = 118,010/x
  3. Step 3: Cross multiply
    55,117x = 118,010 × 118,010
  4. Step 4: Simplify right side
    55,117x = 13,926,360,100
  5. Step 5: Solve for x
    x = 13,926,360,100/55,117
  6. Step 6: Final answer
    x = 252,669.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.