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Finding the Third Proportional to 62,320 and 96,752

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Solution

The third proportional to 62,320 and 96,752 is: 150,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,320 : 96,752 = 96,752 : x
  2. Step 2: Convert to fraction form
    62,320/96,752 = 96,752/x
  3. Step 3: Cross multiply
    62,320x = 96,752 × 96,752
  4. Step 4: Simplify right side
    62,320x = 9,360,949,504
  5. Step 5: Solve for x
    x = 9,360,949,504/62,320
  6. Step 6: Final answer
    x = 150,207.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.