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Finding the Third Proportional to 96,582 and 144,318

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Solution

The third proportional to 96,582 and 144,318 is: 215,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,582 : 144,318 = 144,318 : x
  2. Step 2: Convert to fraction form
    96,582/144,318 = 144,318/x
  3. Step 3: Cross multiply
    96,582x = 144,318 × 144,318
  4. Step 4: Simplify right side
    96,582x = 20,827,685,124
  5. Step 5: Solve for x
    x = 20,827,685,124/96,582
  6. Step 6: Final answer
    x = 215,647.69

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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.