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Finding the Third Proportional to 96,133 and 143,403

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Solution

The third proportional to 96,133 and 143,403 is: 213,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,133 : 143,403 = 143,403 : x
  2. Step 2: Convert to fraction form
    96,133/143,403 = 143,403/x
  3. Step 3: Cross multiply
    96,133x = 143,403 × 143,403
  4. Step 4: Simplify right side
    96,133x = 20,564,420,409
  5. Step 5: Solve for x
    x = 20,564,420,409/96,133
  6. Step 6: Final answer
    x = 213,916.35

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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.