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Finding the Third Proportional to 125,820 and 183,540

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Solution

The third proportional to 125,820 and 183,540 is: 267,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,820 : 183,540 = 183,540 : x
  2. Step 2: Convert to fraction form
    125,820/183,540 = 183,540/x
  3. Step 3: Cross multiply
    125,820x = 183,540 × 183,540
  4. Step 4: Simplify right side
    125,820x = 33,686,931,600
  5. Step 5: Solve for x
    x = 33,686,931,600/125,820
  6. Step 6: Final answer
    x = 267,739.08

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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.