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Finding the Third Proportional to 96,784 and 144,135

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Solution

The third proportional to 96,784 and 144,135 is: 214,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,784 : 144,135 = 144,135 : x
  2. Step 2: Convert to fraction form
    96,784/144,135 = 144,135/x
  3. Step 3: Cross multiply
    96,784x = 144,135 × 144,135
  4. Step 4: Simplify right side
    96,784x = 20,774,898,225
  5. Step 5: Solve for x
    x = 20,774,898,225/96,784
  6. Step 6: Final answer
    x = 214,652.20

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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.