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Finding the Third Proportional to 101,970 and 155,202

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Solution

The third proportional to 101,970 and 155,202 is: 236,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970 : 155,202 = 155,202 : x
  2. Step 2: Convert to fraction form
    101,970/155,202 = 155,202/x
  3. Step 3: Cross multiply
    101,970x = 155,202 × 155,202
  4. Step 4: Simplify right side
    101,970x = 24,087,660,804
  5. Step 5: Solve for x
    x = 24,087,660,804/101,970
  6. Step 6: Final answer
    x = 236,223.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.