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Finding the Third Proportional to 84,009.56 and 133,089.75

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Solution

The third proportional to 84,009.56 and 133,089.75 is: 210,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,009.56 : 133,089.75 = 133,089.75 : x
  2. Step 2: Convert to fraction form
    84,009.56/133,089.75 = 133,089.75/x
  3. Step 3: Cross multiply
    84,009.56x = 133,089.75 × 133,089.75
  4. Step 4: Simplify right side
    84,009.56x = 17,712,881,555.06
  5. Step 5: Solve for x
    x = 17,712,881,555.06/84,009.56
  6. Step 6: Final answer
    x = 210,843.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.