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Finding the Third Proportional to 61,094.25 and 130,511.25

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Solution

The third proportional to 61,094.25 and 130,511.25 is: 278,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,094.25 : 130,511.25 = 130,511.25 : x
  2. Step 2: Convert to fraction form
    61,094.25/130,511.25 = 130,511.25/x
  3. Step 3: Cross multiply
    61,094.25x = 130,511.25 × 130,511.25
  4. Step 4: Simplify right side
    61,094.25x = 17,033,186,376.56
  5. Step 5: Solve for x
    x = 17,033,186,376.56/61,094.25
  6. Step 6: Final answer
    x = 278,801.79

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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.