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Finding the Third Proportional to 106,766.44 and 160,848.28

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Solution

The third proportional to 106,766.44 and 160,848.28 is: 242,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,766.44 : 160,848.28 = 160,848.28 : x
  2. Step 2: Convert to fraction form
    106,766.44/160,848.28 = 160,848.28/x
  3. Step 3: Cross multiply
    106,766.44x = 160,848.28 × 160,848.28
  4. Step 4: Simplify right side
    106,766.44x = 25,872,169,581.08
  5. Step 5: Solve for x
    x = 25,872,169,581.08/106,766.44
  6. Step 6: Final answer
    x = 242,324.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.