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Finding the Third Proportional to 73,062 and 157,412

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Solution

The third proportional to 73,062 and 157,412 is: 339,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,062 : 157,412 = 157,412 : x
  2. Step 2: Convert to fraction form
    73,062/157,412 = 157,412/x
  3. Step 3: Cross multiply
    73,062x = 157,412 × 157,412
  4. Step 4: Simplify right side
    73,062x = 24,778,537,744
  5. Step 5: Solve for x
    x = 24,778,537,744/73,062
  6. Step 6: Final answer
    x = 339,143.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.