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Finding the Third Proportional to 116,988.75 and 173,762.25

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Solution

The third proportional to 116,988.75 and 173,762.25 is: 258,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,988.75 : 173,762.25 = 173,762.25 : x
  2. Step 2: Convert to fraction form
    116,988.75/173,762.25 = 173,762.25/x
  3. Step 3: Cross multiply
    116,988.75x = 173,762.25 × 173,762.25
  4. Step 4: Simplify right side
    116,988.75x = 30,193,319,525.06
  5. Step 5: Solve for x
    x = 30,193,319,525.06/116,988.75
  6. Step 6: Final answer
    x = 258,087.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.