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Finding the Third Proportional to 61,120 and 126,046

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Solution

The third proportional to 61,120 and 126,046 is: 259,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,120 : 126,046 = 126,046 : x
  2. Step 2: Convert to fraction form
    61,120/126,046 = 126,046/x
  3. Step 3: Cross multiply
    61,120x = 126,046 × 126,046
  4. Step 4: Simplify right side
    61,120x = 15,887,594,116
  5. Step 5: Solve for x
    x = 15,887,594,116/61,120
  6. Step 6: Final answer
    x = 259,941.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.