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Finding the Third Proportional to 84,422.25 and 130,288.50

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Solution

The third proportional to 84,422.25 and 130,288.50 is: 201,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422.25 : 130,288.50 = 130,288.50 : x
  2. Step 2: Convert to fraction form
    84,422.25/130,288.50 = 130,288.50/x
  3. Step 3: Cross multiply
    84,422.25x = 130,288.50 × 130,288.50
  4. Step 4: Simplify right side
    84,422.25x = 16,975,093,232.25
  5. Step 5: Solve for x
    x = 16,975,093,232.25/84,422.25
  6. Step 6: Final answer
    x = 201,073.69

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