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Finding the Third Proportional to 49,319 and 77,265

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Solution

The third proportional to 49,319 and 77,265 is: 121,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,319 : 77,265 = 77,265 : x
  2. Step 2: Convert to fraction form
    49,319/77,265 = 77,265/x
  3. Step 3: Cross multiply
    49,319x = 77,265 × 77,265
  4. Step 4: Simplify right side
    49,319x = 5,969,880,225
  5. Step 5: Solve for x
    x = 5,969,880,225/49,319
  6. Step 6: Final answer
    x = 121,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.