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Finding the Third Proportional to 97,299 and 146,655

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Solution

The third proportional to 97,299 and 146,655 is: 221,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,299 : 146,655 = 146,655 : x
  2. Step 2: Convert to fraction form
    97,299/146,655 = 146,655/x
  3. Step 3: Cross multiply
    97,299x = 146,655 × 146,655
  4. Step 4: Simplify right side
    97,299x = 21,507,689,025
  5. Step 5: Solve for x
    x = 21,507,689,025/97,299
  6. Step 6: Final answer
    x = 221,047.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.