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Finding the Third Proportional to 74,021 and 112,416

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Solution

The third proportional to 74,021 and 112,416 is: 170,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,021 : 112,416 = 112,416 : x
  2. Step 2: Convert to fraction form
    74,021/112,416 = 112,416/x
  3. Step 3: Cross multiply
    74,021x = 112,416 × 112,416
  4. Step 4: Simplify right side
    74,021x = 12,637,357,056
  5. Step 5: Solve for x
    x = 12,637,357,056/74,021
  6. Step 6: Final answer
    x = 170,726.65

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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.