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Finding the Third Proportional to 102,300 and 155,586

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Solution

The third proportional to 102,300 and 155,586 is: 236,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300 : 155,586 = 155,586 : x
  2. Step 2: Convert to fraction form
    102,300/155,586 = 155,586/x
  3. Step 3: Cross multiply
    102,300x = 155,586 × 155,586
  4. Step 4: Simplify right side
    102,300x = 24,207,003,396
  5. Step 5: Solve for x
    x = 24,207,003,396/102,300
  6. Step 6: Final answer
    x = 236,627.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.