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Finding the Third Proportional to 74,546 and 112,339

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Solution

The third proportional to 74,546 and 112,339 is: 169,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,546 : 112,339 = 112,339 : x
  2. Step 2: Convert to fraction form
    74,546/112,339 = 112,339/x
  3. Step 3: Cross multiply
    74,546x = 112,339 × 112,339
  4. Step 4: Simplify right side
    74,546x = 12,620,050,921
  5. Step 5: Solve for x
    x = 12,620,050,921/74,546
  6. Step 6: Final answer
    x = 169,292.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.