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Finding the Third Proportional to 97,401.75 and 155,603.25

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Solution

The third proportional to 97,401.75 and 155,603.25 is: 248,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,401.75 : 155,603.25 = 155,603.25 : x
  2. Step 2: Convert to fraction form
    97,401.75/155,603.25 = 155,603.25/x
  3. Step 3: Cross multiply
    97,401.75x = 155,603.25 × 155,603.25
  4. Step 4: Simplify right side
    97,401.75x = 24,212,371,410.56
  5. Step 5: Solve for x
    x = 24,212,371,410.56/97,401.75
  6. Step 6: Final answer
    x = 248,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.