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Finding the Third Proportional to 66,148 and 142,663

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Solution

The third proportional to 66,148 and 142,663 is: 307,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,148 : 142,663 = 142,663 : x
  2. Step 2: Convert to fraction form
    66,148/142,663 = 142,663/x
  3. Step 3: Cross multiply
    66,148x = 142,663 × 142,663
  4. Step 4: Simplify right side
    66,148x = 20,352,731,569
  5. Step 5: Solve for x
    x = 20,352,731,569/66,148
  6. Step 6: Final answer
    x = 307,684.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.