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Finding the Third Proportional to 71,748 and 146,416

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Solution

The third proportional to 71,748 and 146,416 is: 298,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748 : 146,416 = 146,416 : x
  2. Step 2: Convert to fraction form
    71,748/146,416 = 146,416/x
  3. Step 3: Cross multiply
    71,748x = 146,416 × 146,416
  4. Step 4: Simplify right side
    71,748x = 21,437,645,056
  5. Step 5: Solve for x
    x = 21,437,645,056/71,748
  6. Step 6: Final answer
    x = 298,790.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.