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Finding the Third Proportional to 102,600 and 153,492

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Solution

The third proportional to 102,600 and 153,492 is: 229,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,600 : 153,492 = 153,492 : x
  2. Step 2: Convert to fraction form
    102,600/153,492 = 153,492/x
  3. Step 3: Cross multiply
    102,600x = 153,492 × 153,492
  4. Step 4: Simplify right side
    102,600x = 23,559,794,064
  5. Step 5: Solve for x
    x = 23,559,794,064/102,600
  6. Step 6: Final answer
    x = 229,627.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.