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Finding the Third Proportional to 96,535.50 and 143,385

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Solution

The third proportional to 96,535.50 and 143,385 is: 212,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,535.50 : 143,385 = 143,385 : x
  2. Step 2: Convert to fraction form
    96,535.50/143,385 = 143,385/x
  3. Step 3: Cross multiply
    96,535.50x = 143,385 × 143,385
  4. Step 4: Simplify right side
    96,535.50x = 20,559,258,225
  5. Step 5: Solve for x
    x = 20,559,258,225/96,535.50
  6. Step 6: Final answer
    x = 212,970.96

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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.