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Finding the Third Proportional to 85,725.84 and 133,358.91

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Solution

The third proportional to 85,725.84 and 133,358.91 is: 207,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,725.84 : 133,358.91 = 133,358.91 : x
  2. Step 2: Convert to fraction form
    85,725.84/133,358.91 = 133,358.91/x
  3. Step 3: Cross multiply
    85,725.84x = 133,358.91 × 133,358.91
  4. Step 4: Simplify right side
    85,725.84x = 17,784,597,876.20
  5. Step 5: Solve for x
    x = 17,784,597,876.20/85,725.84
  6. Step 6: Final answer
    x = 207,459.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.