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Finding the Third Proportional to 84,143.81 and 184,123.13

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Solution

The third proportional to 84,143.81 and 184,123.13 is: 402,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.81 : 184,123.13 = 184,123.13 : x
  2. Step 2: Convert to fraction form
    84,143.81/184,123.13 = 184,123.13/x
  3. Step 3: Cross multiply
    84,143.81x = 184,123.13 × 184,123.13
  4. Step 4: Simplify right side
    84,143.81x = 33,901,325,159.77
  5. Step 5: Solve for x
    x = 33,901,325,159.77/84,143.81
  6. Step 6: Final answer
    x = 402,897.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.