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Finding the Third Proportional to 102,582 and 225,360

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Solution

The third proportional to 102,582 and 225,360 is: 495,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582 : 225,360 = 225,360 : x
  2. Step 2: Convert to fraction form
    102,582/225,360 = 225,360/x
  3. Step 3: Cross multiply
    102,582x = 225,360 × 225,360
  4. Step 4: Simplify right side
    102,582x = 50,787,129,600
  5. Step 5: Solve for x
    x = 50,787,129,600/102,582
  6. Step 6: Final answer
    x = 495,088.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.