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Finding the Third Proportional to 73,156 and 157,410

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Solution

The third proportional to 73,156 and 157,410 is: 338,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,156 : 157,410 = 157,410 : x
  2. Step 2: Convert to fraction form
    73,156/157,410 = 157,410/x
  3. Step 3: Cross multiply
    73,156x = 157,410 × 157,410
  4. Step 4: Simplify right side
    73,156x = 24,777,908,100
  5. Step 5: Solve for x
    x = 24,777,908,100/73,156
  6. Step 6: Final answer
    x = 338,699.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.