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Finding the Third Proportional to 77,452 and 114,740

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Solution

The third proportional to 77,452 and 114,740 is: 169,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,452 : 114,740 = 114,740 : x
  2. Step 2: Convert to fraction form
    77,452/114,740 = 114,740/x
  3. Step 3: Cross multiply
    77,452x = 114,740 × 114,740
  4. Step 4: Simplify right side
    77,452x = 13,165,267,600
  5. Step 5: Solve for x
    x = 13,165,267,600/77,452
  6. Step 6: Final answer
    x = 169,979.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.