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Finding the Third Proportional to 103,178 and 155,595

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Solution

The third proportional to 103,178 and 155,595 is: 234,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,178 : 155,595 = 155,595 : x
  2. Step 2: Convert to fraction form
    103,178/155,595 = 155,595/x
  3. Step 3: Cross multiply
    103,178x = 155,595 × 155,595
  4. Step 4: Simplify right side
    103,178x = 24,209,804,025
  5. Step 5: Solve for x
    x = 24,209,804,025/103,178
  6. Step 6: Final answer
    x = 234,641.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.