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Finding the Third Proportional to 74,256 and 115,082

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Solution

The third proportional to 74,256 and 115,082 is: 178,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,256 : 115,082 = 115,082 : x
  2. Step 2: Convert to fraction form
    74,256/115,082 = 115,082/x
  3. Step 3: Cross multiply
    74,256x = 115,082 × 115,082
  4. Step 4: Simplify right side
    74,256x = 13,243,866,724
  5. Step 5: Solve for x
    x = 13,243,866,724/74,256
  6. Step 6: Final answer
    x = 178,354.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.