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Finding the Third Proportional to 49,101.75 and 106,952.63

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Solution

The third proportional to 49,101.75 and 106,952.63 is: 232,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.75 : 106,952.63 = 106,952.63 : x
  2. Step 2: Convert to fraction form
    49,101.75/106,952.63 = 106,952.63/x
  3. Step 3: Cross multiply
    49,101.75x = 106,952.63 × 106,952.63
  4. Step 4: Simplify right side
    49,101.75x = 11,438,863,994.39
  5. Step 5: Solve for x
    x = 11,438,863,994.39/49,101.75
  6. Step 6: Final answer
    x = 232,962.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.