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Finding the Third Proportional to 75,628 and 114,053

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Solution

The third proportional to 75,628 and 114,053 is: 172,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,628 : 114,053 = 114,053 : x
  2. Step 2: Convert to fraction form
    75,628/114,053 = 114,053/x
  3. Step 3: Cross multiply
    75,628x = 114,053 × 114,053
  4. Step 4: Simplify right side
    75,628x = 13,008,086,809
  5. Step 5: Solve for x
    x = 13,008,086,809/75,628
  6. Step 6: Final answer
    x = 172,000.94

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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.