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Finding the Third Proportional to 84,304 and 113,128

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Solution

The third proportional to 84,304 and 113,128 is: 151,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,304 : 113,128 = 113,128 : x
  2. Step 2: Convert to fraction form
    84,304/113,128 = 113,128/x
  3. Step 3: Cross multiply
    84,304x = 113,128 × 113,128
  4. Step 4: Simplify right side
    84,304x = 12,797,944,384
  5. Step 5: Solve for x
    x = 12,797,944,384/84,304
  6. Step 6: Final answer
    x = 151,807.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.