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Finding the Third Proportional to 134,532 and 201,564

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Solution

The third proportional to 134,532 and 201,564 is: 301,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,532 : 201,564 = 201,564 : x
  2. Step 2: Convert to fraction form
    134,532/201,564 = 201,564/x
  3. Step 3: Cross multiply
    134,532x = 201,564 × 201,564
  4. Step 4: Simplify right side
    134,532x = 40,628,046,096
  5. Step 5: Solve for x
    x = 40,628,046,096/134,532
  6. Step 6: Final answer
    x = 301,995.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.