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Finding the Third Proportional to 89,181.84 and 130,573.13

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Solution

The third proportional to 89,181.84 and 130,573.13 is: 191,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181.84 : 130,573.13 = 130,573.13 : x
  2. Step 2: Convert to fraction form
    89,181.84/130,573.13 = 130,573.13/x
  3. Step 3: Cross multiply
    89,181.84x = 130,573.13 × 130,573.13
  4. Step 4: Simplify right side
    89,181.84x = 17,049,340,972.27
  5. Step 5: Solve for x
    x = 17,049,340,972.27/89,181.84
  6. Step 6: Final answer
    x = 191,175.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.