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Finding the Third Proportional to 76,748 and 110,181

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Solution

The third proportional to 76,748 and 110,181 is: 158,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,748 : 110,181 = 110,181 : x
  2. Step 2: Convert to fraction form
    76,748/110,181 = 110,181/x
  3. Step 3: Cross multiply
    76,748x = 110,181 × 110,181
  4. Step 4: Simplify right side
    76,748x = 12,139,852,761
  5. Step 5: Solve for x
    x = 12,139,852,761/76,748
  6. Step 6: Final answer
    x = 158,178.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.