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Finding the Third Proportional to 102,356 and 155,124

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Solution

The third proportional to 102,356 and 155,124 is: 235,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356 : 155,124 = 155,124 : x
  2. Step 2: Convert to fraction form
    102,356/155,124 = 155,124/x
  3. Step 3: Cross multiply
    102,356x = 155,124 × 155,124
  4. Step 4: Simplify right side
    102,356x = 24,063,455,376
  5. Step 5: Solve for x
    x = 24,063,455,376/102,356
  6. Step 6: Final answer
    x = 235,095.70

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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.