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Finding the Third Proportional to 76,370 and 115,395

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Solution

The third proportional to 76,370 and 115,395 is: 174,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,370 : 115,395 = 115,395 : x
  2. Step 2: Convert to fraction form
    76,370/115,395 = 115,395/x
  3. Step 3: Cross multiply
    76,370x = 115,395 × 115,395
  4. Step 4: Simplify right side
    76,370x = 13,316,006,025
  5. Step 5: Solve for x
    x = 13,316,006,025/76,370
  6. Step 6: Final answer
    x = 174,361.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.