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Finding the Third Proportional to 66,228 and 144,354

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Solution

The third proportional to 66,228 and 144,354 is: 314,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,228 : 144,354 = 144,354 : x
  2. Step 2: Convert to fraction form
    66,228/144,354 = 144,354/x
  3. Step 3: Cross multiply
    66,228x = 144,354 × 144,354
  4. Step 4: Simplify right side
    66,228x = 20,838,077,316
  5. Step 5: Solve for x
    x = 20,838,077,316/66,228
  6. Step 6: Final answer
    x = 314,641.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.