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Finding the Third Proportional to 116,741 and 178,501

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Solution

The third proportional to 116,741 and 178,501 is: 272,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,741 : 178,501 = 178,501 : x
  2. Step 2: Convert to fraction form
    116,741/178,501 = 178,501/x
  3. Step 3: Cross multiply
    116,741x = 178,501 × 178,501
  4. Step 4: Simplify right side
    116,741x = 31,862,607,001
  5. Step 5: Solve for x
    x = 31,862,607,001/116,741
  6. Step 6: Final answer
    x = 272,934.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.