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Finding the Third Proportional to 114,126 and 175,641

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Solution

The third proportional to 114,126 and 175,641 is: 270,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,126 : 175,641 = 175,641 : x
  2. Step 2: Convert to fraction form
    114,126/175,641 = 175,641/x
  3. Step 3: Cross multiply
    114,126x = 175,641 × 175,641
  4. Step 4: Simplify right side
    114,126x = 30,849,760,881
  5. Step 5: Solve for x
    x = 30,849,760,881/114,126
  6. Step 6: Final answer
    x = 270,313.17

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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.