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Finding the Third Proportional to 96,156 and 143,434

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Solution

The third proportional to 96,156 and 143,434 is: 213,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,156 : 143,434 = 143,434 : x
  2. Step 2: Convert to fraction form
    96,156/143,434 = 143,434/x
  3. Step 3: Cross multiply
    96,156x = 143,434 × 143,434
  4. Step 4: Simplify right side
    96,156x = 20,573,312,356
  5. Step 5: Solve for x
    x = 20,573,312,356/96,156
  6. Step 6: Final answer
    x = 213,957.66

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