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Finding the Third Proportional to 66,684 and 142,572

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Solution

The third proportional to 66,684 and 142,572 is: 304,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684 : 142,572 = 142,572 : x
  2. Step 2: Convert to fraction form
    66,684/142,572 = 142,572/x
  3. Step 3: Cross multiply
    66,684x = 142,572 × 142,572
  4. Step 4: Simplify right side
    66,684x = 20,326,775,184
  5. Step 5: Solve for x
    x = 20,326,775,184/66,684
  6. Step 6: Final answer
    x = 304,822.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.