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Finding the Third Proportional to 84,290 and 130,083

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Solution

The third proportional to 84,290 and 130,083 is: 200,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,290 : 130,083 = 130,083 : x
  2. Step 2: Convert to fraction form
    84,290/130,083 = 130,083/x
  3. Step 3: Cross multiply
    84,290x = 130,083 × 130,083
  4. Step 4: Simplify right side
    84,290x = 16,921,586,889
  5. Step 5: Solve for x
    x = 16,921,586,889/84,290
  6. Step 6: Final answer
    x = 200,754.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.