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Finding the Third Proportional to 74,045 and 112,341

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Solution

The third proportional to 74,045 and 112,341 is: 170,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,045 : 112,341 = 112,341 : x
  2. Step 2: Convert to fraction form
    74,045/112,341 = 112,341/x
  3. Step 3: Cross multiply
    74,045x = 112,341 × 112,341
  4. Step 4: Simplify right side
    74,045x = 12,620,500,281
  5. Step 5: Solve for x
    x = 12,620,500,281/74,045
  6. Step 6: Final answer
    x = 170,443.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.