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Finding the Third Proportional to 84,012.19 and 130,080.94

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Solution

The third proportional to 84,012.19 and 130,080.94 is: 201,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,012.19 : 130,080.94 = 130,080.94 : x
  2. Step 2: Convert to fraction form
    84,012.19/130,080.94 = 130,080.94/x
  3. Step 3: Cross multiply
    84,012.19x = 130,080.94 × 130,080.94
  4. Step 4: Simplify right side
    84,012.19x = 16,921,050,300.88
  5. Step 5: Solve for x
    x = 16,921,050,300.88/84,012.19
  6. Step 6: Final answer
    x = 201,411.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.