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Finding the Third Proportional to 89,259 and 130,467.84

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Solution

The third proportional to 89,259 and 130,467.84 is: 190,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,259 : 130,467.84 = 130,467.84 : x
  2. Step 2: Convert to fraction form
    89,259/130,467.84 = 130,467.84/x
  3. Step 3: Cross multiply
    89,259x = 130,467.84 × 130,467.84
  4. Step 4: Simplify right side
    89,259x = 17,021,858,252.77
  5. Step 5: Solve for x
    x = 17,021,858,252.77/89,259
  6. Step 6: Final answer
    x = 190,701.87

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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.