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Finding the Third Proportional to 125,514 and 175,557

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Solution

The third proportional to 125,514 and 175,557 is: 245,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514 : 175,557 = 175,557 : x
  2. Step 2: Convert to fraction form
    125,514/175,557 = 175,557/x
  3. Step 3: Cross multiply
    125,514x = 175,557 × 175,557
  4. Step 4: Simplify right side
    125,514x = 30,820,260,249
  5. Step 5: Solve for x
    x = 30,820,260,249/125,514
  6. Step 6: Final answer
    x = 245,552.37

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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.