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Finding the Third Proportional to 96,765.19 and 142,302.38

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Solution

The third proportional to 96,765.19 and 142,302.38 is: 209,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,765.19 : 142,302.38 = 142,302.38 : x
  2. Step 2: Convert to fraction form
    96,765.19/142,302.38 = 142,302.38/x
  3. Step 3: Cross multiply
    96,765.19x = 142,302.38 × 142,302.38
  4. Step 4: Simplify right side
    96,765.19x = 20,249,965,930.64
  5. Step 5: Solve for x
    x = 20,249,965,930.64/96,765.19
  6. Step 6: Final answer
    x = 209,269.12

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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.