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Finding the Third Proportional to 58,864 and 121,724

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Solution

The third proportional to 58,864 and 121,724 is: 251,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,864 : 121,724 = 121,724 : x
  2. Step 2: Convert to fraction form
    58,864/121,724 = 121,724/x
  3. Step 3: Cross multiply
    58,864x = 121,724 × 121,724
  4. Step 4: Simplify right side
    58,864x = 14,816,732,176
  5. Step 5: Solve for x
    x = 14,816,732,176/58,864
  6. Step 6: Final answer
    x = 251,711.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.