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Finding the Third Proportional to 125,830 and 183,554

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Solution

The third proportional to 125,830 and 183,554 is: 267,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,830 : 183,554 = 183,554 : x
  2. Step 2: Convert to fraction form
    125,830/183,554 = 183,554/x
  3. Step 3: Cross multiply
    125,830x = 183,554 × 183,554
  4. Step 4: Simplify right side
    125,830x = 33,692,070,916
  5. Step 5: Solve for x
    x = 33,692,070,916/125,830
  6. Step 6: Final answer
    x = 267,758.65

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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.