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Finding the Third Proportional to 62,094 and 98,366.25

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Solution

The third proportional to 62,094 and 98,366.25 is: 155,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,094 : 98,366.25 = 98,366.25 : x
  2. Step 2: Convert to fraction form
    62,094/98,366.25 = 98,366.25/x
  3. Step 3: Cross multiply
    62,094x = 98,366.25 × 98,366.25
  4. Step 4: Simplify right side
    62,094x = 9,675,919,139.06
  5. Step 5: Solve for x
    x = 9,675,919,139.06/62,094
  6. Step 6: Final answer
    x = 155,826.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.