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Finding the Third Proportional to 125,352 and 188,055

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Solution

The third proportional to 125,352 and 188,055 is: 282,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,352 : 188,055 = 188,055 : x
  2. Step 2: Convert to fraction form
    125,352/188,055 = 188,055/x
  3. Step 3: Cross multiply
    125,352x = 188,055 × 188,055
  4. Step 4: Simplify right side
    125,352x = 35,364,683,025
  5. Step 5: Solve for x
    x = 35,364,683,025/125,352
  6. Step 6: Final answer
    x = 282,123.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.