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Finding the Third Proportional to 84,524.63 and 130,811.06

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Solution

The third proportional to 84,524.63 and 130,811.06 is: 202,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,524.63 : 130,811.06 = 130,811.06 : x
  2. Step 2: Convert to fraction form
    84,524.63/130,811.06 = 130,811.06/x
  3. Step 3: Cross multiply
    84,524.63x = 130,811.06 × 130,811.06
  4. Step 4: Simplify right side
    84,524.63x = 17,111,534,072.38
  5. Step 5: Solve for x
    x = 17,111,534,072.38/84,524.63
  6. Step 6: Final answer
    x = 202,444.37

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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.