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Finding the Third Proportional to 84,546 and 129,998

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Solution

The third proportional to 84,546 and 129,998 is: 199,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,546 : 129,998 = 129,998 : x
  2. Step 2: Convert to fraction form
    84,546/129,998 = 129,998/x
  3. Step 3: Cross multiply
    84,546x = 129,998 × 129,998
  4. Step 4: Simplify right side
    84,546x = 16,899,480,004
  5. Step 5: Solve for x
    x = 16,899,480,004/84,546
  6. Step 6: Final answer
    x = 199,885.03

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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.