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Finding the Third Proportional to 125,112 and 183,291

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Solution

The third proportional to 125,112 and 183,291 is: 268,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,112 : 183,291 = 183,291 : x
  2. Step 2: Convert to fraction form
    125,112/183,291 = 183,291/x
  3. Step 3: Cross multiply
    125,112x = 183,291 × 183,291
  4. Step 4: Simplify right side
    125,112x = 33,595,590,681
  5. Step 5: Solve for x
    x = 33,595,590,681/125,112
  6. Step 6: Final answer
    x = 268,524.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.