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Finding the Third Proportional to 125,604 and 175,690

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Solution

The third proportional to 125,604 and 175,690 is: 245,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,604 : 175,690 = 175,690 : x
  2. Step 2: Convert to fraction form
    125,604/175,690 = 175,690/x
  3. Step 3: Cross multiply
    125,604x = 175,690 × 175,690
  4. Step 4: Simplify right side
    125,604x = 30,866,976,100
  5. Step 5: Solve for x
    x = 30,866,976,100/125,604
  6. Step 6: Final answer
    x = 245,748.35

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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.