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Finding the Third Proportional to 84,525.38 and 130,812.38

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Solution

The third proportional to 84,525.38 and 130,812.38 is: 202,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,525.38 : 130,812.38 = 130,812.38 : x
  2. Step 2: Convert to fraction form
    84,525.38/130,812.38 = 130,812.38/x
  3. Step 3: Cross multiply
    84,525.38x = 130,812.38 × 130,812.38
  4. Step 4: Simplify right side
    84,525.38x = 17,111,877,453.14
  5. Step 5: Solve for x
    x = 17,111,877,453.14/84,525.38
  6. Step 6: Final answer
    x = 202,446.63

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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.