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Finding the Third Proportional to 77,748 and 175,668

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Solution

The third proportional to 77,748 and 175,668 is: 396,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,748 : 175,668 = 175,668 : x
  2. Step 2: Convert to fraction form
    77,748/175,668 = 175,668/x
  3. Step 3: Cross multiply
    77,748x = 175,668 × 175,668
  4. Step 4: Simplify right side
    77,748x = 30,859,246,224
  5. Step 5: Solve for x
    x = 30,859,246,224/77,748
  6. Step 6: Final answer
    x = 396,913.70

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.