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Finding the Third Proportional to 84,532 and 130,824

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Solution

The third proportional to 84,532 and 130,824 is: 202,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,532 : 130,824 = 130,824 : x
  2. Step 2: Convert to fraction form
    84,532/130,824 = 130,824/x
  3. Step 3: Cross multiply
    84,532x = 130,824 × 130,824
  4. Step 4: Simplify right side
    84,532x = 17,114,918,976
  5. Step 5: Solve for x
    x = 17,114,918,976/84,532
  6. Step 6: Final answer
    x = 202,466.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.