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Finding the Third Proportional to 102,294 and 155,025

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Solution

The third proportional to 102,294 and 155,025 is: 234,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,294 : 155,025 = 155,025 : x
  2. Step 2: Convert to fraction form
    102,294/155,025 = 155,025/x
  3. Step 3: Cross multiply
    102,294x = 155,025 × 155,025
  4. Step 4: Simplify right side
    102,294x = 24,032,750,625
  5. Step 5: Solve for x
    x = 24,032,750,625/102,294
  6. Step 6: Final answer
    x = 234,938.03

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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.