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Finding the Third Proportional to 144,520 and 191,752

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Solution

The third proportional to 144,520 and 191,752 is: 254,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,520 : 191,752 = 191,752 : x
  2. Step 2: Convert to fraction form
    144,520/191,752 = 191,752/x
  3. Step 3: Cross multiply
    144,520x = 191,752 × 191,752
  4. Step 4: Simplify right side
    144,520x = 36,768,829,504
  5. Step 5: Solve for x
    x = 36,768,829,504/144,520
  6. Step 6: Final answer
    x = 254,420.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.