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Finding the Third Proportional to 96,642 and 144,513

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Solution

The third proportional to 96,642 and 144,513 is: 216,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,642 : 144,513 = 144,513 : x
  2. Step 2: Convert to fraction form
    96,642/144,513 = 144,513/x
  3. Step 3: Cross multiply
    96,642x = 144,513 × 144,513
  4. Step 4: Simplify right side
    96,642x = 20,884,007,169
  5. Step 5: Solve for x
    x = 20,884,007,169/96,642
  6. Step 6: Final answer
    x = 216,096.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.