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Finding the Third Proportional to 78,770 and 115,851

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Solution

The third proportional to 78,770 and 115,851 is: 170,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770 : 115,851 = 115,851 : x
  2. Step 2: Convert to fraction form
    78,770/115,851 = 115,851/x
  3. Step 3: Cross multiply
    78,770x = 115,851 × 115,851
  4. Step 4: Simplify right side
    78,770x = 13,421,454,201
  5. Step 5: Solve for x
    x = 13,421,454,201/78,770
  6. Step 6: Final answer
    x = 170,387.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.