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Finding the Third Proportional to 115,803 and 183,519

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Solution

The third proportional to 115,803 and 183,519 is: 290,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,803 : 183,519 = 183,519 : x
  2. Step 2: Convert to fraction form
    115,803/183,519 = 183,519/x
  3. Step 3: Cross multiply
    115,803x = 183,519 × 183,519
  4. Step 4: Simplify right side
    115,803x = 33,679,223,361
  5. Step 5: Solve for x
    x = 33,679,223,361/115,803
  6. Step 6: Final answer
    x = 290,832.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.