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Finding the Third Proportional to 75,672 and 116,748

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Solution

The third proportional to 75,672 and 116,748 is: 180,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672 : 116,748 = 116,748 : x
  2. Step 2: Convert to fraction form
    75,672/116,748 = 116,748/x
  3. Step 3: Cross multiply
    75,672x = 116,748 × 116,748
  4. Step 4: Simplify right side
    75,672x = 13,630,095,504
  5. Step 5: Solve for x
    x = 13,630,095,504/75,672
  6. Step 6: Final answer
    x = 180,120.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.