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Finding the Third Proportional to 96,152 and 143,428

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Solution

The third proportional to 96,152 and 143,428 is: 213,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152 : 143,428 = 143,428 : x
  2. Step 2: Convert to fraction form
    96,152/143,428 = 143,428/x
  3. Step 3: Cross multiply
    96,152x = 143,428 × 143,428
  4. Step 4: Simplify right side
    96,152x = 20,571,591,184
  5. Step 5: Solve for x
    x = 20,571,591,184/96,152
  6. Step 6: Final answer
    x = 213,948.66

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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.