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Finding the Third Proportional to 119,475 and 162,354

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Solution

The third proportional to 119,475 and 162,354 is: 220,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,475 : 162,354 = 162,354 : x
  2. Step 2: Convert to fraction form
    119,475/162,354 = 162,354/x
  3. Step 3: Cross multiply
    119,475x = 162,354 × 162,354
  4. Step 4: Simplify right side
    119,475x = 26,358,821,316
  5. Step 5: Solve for x
    x = 26,358,821,316/119,475
  6. Step 6: Final answer
    x = 220,622.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.