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Finding the Third Proportional to 94,618 and 142,324

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Solution

The third proportional to 94,618 and 142,324 is: 214,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,618 : 142,324 = 142,324 : x
  2. Step 2: Convert to fraction form
    94,618/142,324 = 142,324/x
  3. Step 3: Cross multiply
    94,618x = 142,324 × 142,324
  4. Step 4: Simplify right side
    94,618x = 20,256,120,976
  5. Step 5: Solve for x
    x = 20,256,120,976/94,618
  6. Step 6: Final answer
    x = 214,083.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.