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Finding the Third Proportional to 125,937 and 174,549

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Solution

The third proportional to 125,937 and 174,549 is: 241,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,937 : 174,549 = 174,549 : x
  2. Step 2: Convert to fraction form
    125,937/174,549 = 174,549/x
  3. Step 3: Cross multiply
    125,937x = 174,549 × 174,549
  4. Step 4: Simplify right side
    125,937x = 30,467,353,401
  5. Step 5: Solve for x
    x = 30,467,353,401/125,937
  6. Step 6: Final answer
    x = 241,925.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.