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Finding the Third Proportional to 96,844 and 142,312

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Solution

The third proportional to 96,844 and 142,312 is: 209,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,844 : 142,312 = 142,312 : x
  2. Step 2: Convert to fraction form
    96,844/142,312 = 142,312/x
  3. Step 3: Cross multiply
    96,844x = 142,312 × 142,312
  4. Step 4: Simplify right side
    96,844x = 20,252,705,344
  5. Step 5: Solve for x
    x = 20,252,705,344/96,844
  6. Step 6: Final answer
    x = 209,127.10

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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.