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Finding the Third Proportional to 73,640 and 113,354

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Solution

The third proportional to 73,640 and 113,354 is: 174,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,640 : 113,354 = 113,354 : x
  2. Step 2: Convert to fraction form
    73,640/113,354 = 113,354/x
  3. Step 3: Cross multiply
    73,640x = 113,354 × 113,354
  4. Step 4: Simplify right side
    73,640x = 12,849,129,316
  5. Step 5: Solve for x
    x = 12,849,129,316/73,640
  6. Step 6: Final answer
    x = 174,485.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.