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Finding the Third Proportional to 125,748 and 274,816

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Solution

The third proportional to 125,748 and 274,816 is: 600,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,748 : 274,816 = 274,816 : x
  2. Step 2: Convert to fraction form
    125,748/274,816 = 274,816/x
  3. Step 3: Cross multiply
    125,748x = 274,816 × 274,816
  4. Step 4: Simplify right side
    125,748x = 75,523,833,856
  5. Step 5: Solve for x
    x = 75,523,833,856/125,748
  6. Step 6: Final answer
    x = 600,596.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.