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Finding the Third Proportional to 49,784 and 77,706

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Solution

The third proportional to 49,784 and 77,706 is: 121,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784 : 77,706 = 77,706 : x
  2. Step 2: Convert to fraction form
    49,784/77,706 = 77,706/x
  3. Step 3: Cross multiply
    49,784x = 77,706 × 77,706
  4. Step 4: Simplify right side
    49,784x = 6,038,222,436
  5. Step 5: Solve for x
    x = 6,038,222,436/49,784
  6. Step 6: Final answer
    x = 121,288.41

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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.