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Finding the Third Proportional to 49,527 and 106,948.13

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Solution

The third proportional to 49,527 and 106,948.13 is: 230,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,527 : 106,948.13 = 106,948.13 : x
  2. Step 2: Convert to fraction form
    49,527/106,948.13 = 106,948.13/x
  3. Step 3: Cross multiply
    49,527x = 106,948.13 × 106,948.13
  4. Step 4: Simplify right side
    49,527x = 11,437,901,441.02
  5. Step 5: Solve for x
    x = 11,437,901,441.02/49,527
  6. Step 6: Final answer
    x = 230,942.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.