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Finding the Third Proportional to 98,536 and 151,620

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Solution

The third proportional to 98,536 and 151,620 is: 233,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536 : 151,620 = 151,620 : x
  2. Step 2: Convert to fraction form
    98,536/151,620 = 151,620/x
  3. Step 3: Cross multiply
    98,536x = 151,620 × 151,620
  4. Step 4: Simplify right side
    98,536x = 22,988,624,400
  5. Step 5: Solve for x
    x = 22,988,624,400/98,536
  6. Step 6: Final answer
    x = 233,301.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.