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Finding the Third Proportional to 59,476 and 129,896

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Solution

The third proportional to 59,476 and 129,896 is: 283,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,476 : 129,896 = 129,896 : x
  2. Step 2: Convert to fraction form
    59,476/129,896 = 129,896/x
  3. Step 3: Cross multiply
    59,476x = 129,896 × 129,896
  4. Step 4: Simplify right side
    59,476x = 16,872,970,816
  5. Step 5: Solve for x
    x = 16,872,970,816/59,476
  6. Step 6: Final answer
    x = 283,693.77

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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.