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Finding the Third Proportional to 59,384 and 129,700

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Solution

The third proportional to 59,384 and 129,700 is: 283,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,384 : 129,700 = 129,700 : x
  2. Step 2: Convert to fraction form
    59,384/129,700 = 129,700/x
  3. Step 3: Cross multiply
    59,384x = 129,700 × 129,700
  4. Step 4: Simplify right side
    59,384x = 16,822,090,000
  5. Step 5: Solve for x
    x = 16,822,090,000/59,384
  6. Step 6: Final answer
    x = 283,276.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.