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Finding the Third Proportional to 96,960 and 142,248

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Solution

The third proportional to 96,960 and 142,248 is: 208,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,960 : 142,248 = 142,248 : x
  2. Step 2: Convert to fraction form
    96,960/142,248 = 142,248/x
  3. Step 3: Cross multiply
    96,960x = 142,248 × 142,248
  4. Step 4: Simplify right side
    96,960x = 20,234,493,504
  5. Step 5: Solve for x
    x = 20,234,493,504/96,960
  6. Step 6: Final answer
    x = 208,689.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.