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Finding the Third Proportional to 74,376 and 113,306

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Solution

The third proportional to 74,376 and 113,306 is: 172,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,376 : 113,306 = 113,306 : x
  2. Step 2: Convert to fraction form
    74,376/113,306 = 113,306/x
  3. Step 3: Cross multiply
    74,376x = 113,306 × 113,306
  4. Step 4: Simplify right side
    74,376x = 12,838,249,636
  5. Step 5: Solve for x
    x = 12,838,249,636/74,376
  6. Step 6: Final answer
    x = 172,612.80

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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.