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Finding the Third Proportional to 114,146 and 175,539

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Solution

The third proportional to 114,146 and 175,539 is: 269,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,146 : 175,539 = 175,539 : x
  2. Step 2: Convert to fraction form
    114,146/175,539 = 175,539/x
  3. Step 3: Cross multiply
    114,146x = 175,539 × 175,539
  4. Step 4: Simplify right side
    114,146x = 30,813,940,521
  5. Step 5: Solve for x
    x = 30,813,940,521/114,146
  6. Step 6: Final answer
    x = 269,952.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.