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Finding the Third Proportional to 75,513 and 119,966

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Solution

The third proportional to 75,513 and 119,966 is: 190,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,513 : 119,966 = 119,966 : x
  2. Step 2: Convert to fraction form
    75,513/119,966 = 119,966/x
  3. Step 3: Cross multiply
    75,513x = 119,966 × 119,966
  4. Step 4: Simplify right side
    75,513x = 14,391,841,156
  5. Step 5: Solve for x
    x = 14,391,841,156/75,513
  6. Step 6: Final answer
    x = 190,587.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.