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Finding the Third Proportional to 74,841 and 112,262

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Solution

The third proportional to 74,841 and 112,262 is: 168,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,841 : 112,262 = 112,262 : x
  2. Step 2: Convert to fraction form
    74,841/112,262 = 112,262/x
  3. Step 3: Cross multiply
    74,841x = 112,262 × 112,262
  4. Step 4: Simplify right side
    74,841x = 12,602,756,644
  5. Step 5: Solve for x
    x = 12,602,756,644/74,841
  6. Step 6: Final answer
    x = 168,393.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.