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Finding the Third Proportional to 124,958 and 178,088

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Solution

The third proportional to 124,958 and 178,088 is: 253,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,958 : 178,088 = 178,088 : x
  2. Step 2: Convert to fraction form
    124,958/178,088 = 178,088/x
  3. Step 3: Cross multiply
    124,958x = 178,088 × 178,088
  4. Step 4: Simplify right side
    124,958x = 31,715,335,744
  5. Step 5: Solve for x
    x = 31,715,335,744/124,958
  6. Step 6: Final answer
    x = 253,807.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.