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Finding the Third Proportional to 125,587 and 183,733

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Solution

The third proportional to 125,587 and 183,733 is: 268,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,587 : 183,733 = 183,733 : x
  2. Step 2: Convert to fraction form
    125,587/183,733 = 183,733/x
  3. Step 3: Cross multiply
    125,587x = 183,733 × 183,733
  4. Step 4: Simplify right side
    125,587x = 33,757,815,289
  5. Step 5: Solve for x
    x = 33,757,815,289/125,587
  6. Step 6: Final answer
    x = 268,800.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.