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Finding the Third Proportional to 71,752 and 111,729

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Solution

The third proportional to 71,752 and 111,729 is: 173,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752 : 111,729 = 111,729 : x
  2. Step 2: Convert to fraction form
    71,752/111,729 = 111,729/x
  3. Step 3: Cross multiply
    71,752x = 111,729 × 111,729
  4. Step 4: Simplify right side
    71,752x = 12,483,369,441
  5. Step 5: Solve for x
    x = 12,483,369,441/71,752
  6. Step 6: Final answer
    x = 173,979.39

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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.