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Finding the Third Proportional to 73,032 and 157,716

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Solution

The third proportional to 73,032 and 157,716 is: 340,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,032 : 157,716 = 157,716 : x
  2. Step 2: Convert to fraction form
    73,032/157,716 = 157,716/x
  3. Step 3: Cross multiply
    73,032x = 157,716 × 157,716
  4. Step 4: Simplify right side
    73,032x = 24,874,336,656
  5. Step 5: Solve for x
    x = 24,874,336,656/73,032
  6. Step 6: Final answer
    x = 340,595.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.