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Finding the Third Proportional to 74,416 and 113,371

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Solution

The third proportional to 74,416 and 113,371 is: 172,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416 : 113,371 = 113,371 : x
  2. Step 2: Convert to fraction form
    74,416/113,371 = 113,371/x
  3. Step 3: Cross multiply
    74,416x = 113,371 × 113,371
  4. Step 4: Simplify right side
    74,416x = 12,852,983,641
  5. Step 5: Solve for x
    x = 12,852,983,641/74,416
  6. Step 6: Final answer
    x = 172,718.01

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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.