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Finding the Third Proportional to 75,356.50 and 116,577

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Solution

The third proportional to 75,356.50 and 116,577 is: 180,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356.50 : 116,577 = 116,577 : x
  2. Step 2: Convert to fraction form
    75,356.50/116,577 = 116,577/x
  3. Step 3: Cross multiply
    75,356.50x = 116,577 × 116,577
  4. Step 4: Simplify right side
    75,356.50x = 13,590,196,929
  5. Step 5: Solve for x
    x = 13,590,196,929/75,356.50
  6. Step 6: Final answer
    x = 180,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.