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Finding the Third Proportional to 48,782.25 and 106,869.38

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Solution

The third proportional to 48,782.25 and 106,869.38 is: 234,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.25 : 106,869.38 = 106,869.38 : x
  2. Step 2: Convert to fraction form
    48,782.25/106,869.38 = 106,869.38/x
  3. Step 3: Cross multiply
    48,782.25x = 106,869.38 × 106,869.38
  4. Step 4: Simplify right side
    48,782.25x = 11,421,063,312.89
  5. Step 5: Solve for x
    x = 11,421,063,312.89/48,782.25
  6. Step 6: Final answer
    x = 234,123.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.