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Finding the Third Proportional to 97,889.25 and 155,762.25

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Solution

The third proportional to 97,889.25 and 155,762.25 is: 247,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,889.25 : 155,762.25 = 155,762.25 : x
  2. Step 2: Convert to fraction form
    97,889.25/155,762.25 = 155,762.25/x
  3. Step 3: Cross multiply
    97,889.25x = 155,762.25 × 155,762.25
  4. Step 4: Simplify right side
    97,889.25x = 24,261,878,525.06
  5. Step 5: Solve for x
    x = 24,261,878,525.06/97,889.25
  6. Step 6: Final answer
    x = 247,850.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.