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Finding the Third Proportional to 58,784 and 129,184

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Solution

The third proportional to 58,784 and 129,184 is: 283,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,784 : 129,184 = 129,184 : x
  2. Step 2: Convert to fraction form
    58,784/129,184 = 129,184/x
  3. Step 3: Cross multiply
    58,784x = 129,184 × 129,184
  4. Step 4: Simplify right side
    58,784x = 16,688,505,856
  5. Step 5: Solve for x
    x = 16,688,505,856/58,784
  6. Step 6: Final answer
    x = 283,895.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.