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Finding the Third Proportional to 125,516 and 175,560

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Solution

The third proportional to 125,516 and 175,560 is: 245,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,516 : 175,560 = 175,560 : x
  2. Step 2: Convert to fraction form
    125,516/175,560 = 175,560/x
  3. Step 3: Cross multiply
    125,516x = 175,560 × 175,560
  4. Step 4: Simplify right side
    125,516x = 30,821,313,600
  5. Step 5: Solve for x
    x = 30,821,313,600/125,516
  6. Step 6: Final answer
    x = 245,556.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.