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Finding the Third Proportional to 98,583.75 and 147,707.25

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Solution

The third proportional to 98,583.75 and 147,707.25 is: 221,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,583.75 : 147,707.25 = 147,707.25 : x
  2. Step 2: Convert to fraction form
    98,583.75/147,707.25 = 147,707.25/x
  3. Step 3: Cross multiply
    98,583.75x = 147,707.25 × 147,707.25
  4. Step 4: Simplify right side
    98,583.75x = 21,817,431,702.56
  5. Step 5: Solve for x
    x = 21,817,431,702.56/98,583.75
  6. Step 6: Final answer
    x = 221,308.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.