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Finding the Third Proportional to 114,951 and 179,415

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Solution

The third proportional to 114,951 and 179,415 is: 280,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,951 : 179,415 = 179,415 : x
  2. Step 2: Convert to fraction form
    114,951/179,415 = 179,415/x
  3. Step 3: Cross multiply
    114,951x = 179,415 × 179,415
  4. Step 4: Simplify right side
    114,951x = 32,189,742,225
  5. Step 5: Solve for x
    x = 32,189,742,225/114,951
  6. Step 6: Final answer
    x = 280,030.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.