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Finding the Third Proportional to 49,511 and 77,304

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Solution

The third proportional to 49,511 and 77,304 is: 120,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,511 : 77,304 = 77,304 : x
  2. Step 2: Convert to fraction form
    49,511/77,304 = 77,304/x
  3. Step 3: Cross multiply
    49,511x = 77,304 × 77,304
  4. Step 4: Simplify right side
    49,511x = 5,975,908,416
  5. Step 5: Solve for x
    x = 5,975,908,416/49,511
  6. Step 6: Final answer
    x = 120,698.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.