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Finding the Third Proportional to 76,712 and 117,741

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Solution

The third proportional to 76,712 and 117,741 is: 180,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712 : 117,741 = 117,741 : x
  2. Step 2: Convert to fraction form
    76,712/117,741 = 117,741/x
  3. Step 3: Cross multiply
    76,712x = 117,741 × 117,741
  4. Step 4: Simplify right side
    76,712x = 13,862,943,081
  5. Step 5: Solve for x
    x = 13,862,943,081/76,712
  6. Step 6: Final answer
    x = 180,714.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.