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Finding the Third Proportional to 75,420 and 114,084

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Solution

The third proportional to 75,420 and 114,084 is: 172,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,420 : 114,084 = 114,084 : x
  2. Step 2: Convert to fraction form
    75,420/114,084 = 114,084/x
  3. Step 3: Cross multiply
    75,420x = 114,084 × 114,084
  4. Step 4: Simplify right side
    75,420x = 13,015,159,056
  5. Step 5: Solve for x
    x = 13,015,159,056/75,420
  6. Step 6: Final answer
    x = 172,569.07

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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.