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Finding the Third Proportional to 102,132 and 155,358

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Solution

The third proportional to 102,132 and 155,358 is: 236,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132 : 155,358 = 155,358 : x
  2. Step 2: Convert to fraction form
    102,132/155,358 = 155,358/x
  3. Step 3: Cross multiply
    102,132x = 155,358 × 155,358
  4. Step 4: Simplify right side
    102,132x = 24,136,108,164
  5. Step 5: Solve for x
    x = 24,136,108,164/102,132
  6. Step 6: Final answer
    x = 236,322.68

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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.