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Finding the Third Proportional to 124,930 and 178,052

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Solution

The third proportional to 124,930 and 178,052 is: 253,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,930 : 178,052 = 178,052 : x
  2. Step 2: Convert to fraction form
    124,930/178,052 = 178,052/x
  3. Step 3: Cross multiply
    124,930x = 178,052 × 178,052
  4. Step 4: Simplify right side
    124,930x = 31,702,514,704
  5. Step 5: Solve for x
    x = 31,702,514,704/124,930
  6. Step 6: Final answer
    x = 253,762.22

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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.