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Finding the Third Proportional to 97,363.50 and 142,215

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Solution

The third proportional to 97,363.50 and 142,215 is: 207,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,363.50 : 142,215 = 142,215 : x
  2. Step 2: Convert to fraction form
    97,363.50/142,215 = 142,215/x
  3. Step 3: Cross multiply
    97,363.50x = 142,215 × 142,215
  4. Step 4: Simplify right side
    97,363.50x = 20,225,106,225
  5. Step 5: Solve for x
    x = 20,225,106,225/97,363.50
  6. Step 6: Final answer
    x = 207,727.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.