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Finding the Third Proportional to 137,664 and 211,752

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Solution

The third proportional to 137,664 and 211,752 is: 325,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,664 : 211,752 = 211,752 : x
  2. Step 2: Convert to fraction form
    137,664/211,752 = 211,752/x
  3. Step 3: Cross multiply
    137,664x = 211,752 × 211,752
  4. Step 4: Simplify right side
    137,664x = 44,838,909,504
  5. Step 5: Solve for x
    x = 44,838,909,504/137,664
  6. Step 6: Final answer
    x = 325,712.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.