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Finding the Third Proportional to 96,312 and 143,640

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Solution

The third proportional to 96,312 and 143,640 is: 214,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312 : 143,640 = 143,640 : x
  2. Step 2: Convert to fraction form
    96,312/143,640 = 143,640/x
  3. Step 3: Cross multiply
    96,312x = 143,640 × 143,640
  4. Step 4: Simplify right side
    96,312x = 20,632,449,600
  5. Step 5: Solve for x
    x = 20,632,449,600/96,312
  6. Step 6: Final answer
    x = 214,225.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.