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Finding the Third Proportional to 125,633 and 141,307

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Solution

The third proportional to 125,633 and 141,307 is: 158,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,633 : 141,307 = 141,307 : x
  2. Step 2: Convert to fraction form
    125,633/141,307 = 141,307/x
  3. Step 3: Cross multiply
    125,633x = 141,307 × 141,307
  4. Step 4: Simplify right side
    125,633x = 19,967,668,249
  5. Step 5: Solve for x
    x = 19,967,668,249/125,633
  6. Step 6: Final answer
    x = 158,936.49

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.