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Finding the Third Proportional to 59,192 and 128,584

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Solution

The third proportional to 59,192 and 128,584 is: 279,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192 : 128,584 = 128,584 : x
  2. Step 2: Convert to fraction form
    59,192/128,584 = 128,584/x
  3. Step 3: Cross multiply
    59,192x = 128,584 × 128,584
  4. Step 4: Simplify right side
    59,192x = 16,533,845,056
  5. Step 5: Solve for x
    x = 16,533,845,056/59,192
  6. Step 6: Final answer
    x = 279,325.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.