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Finding the Third Proportional to 125,229 and 158,674.50

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Solution

The third proportional to 125,229 and 158,674.50 is: 201,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,229 : 158,674.50 = 158,674.50 : x
  2. Step 2: Convert to fraction form
    125,229/158,674.50 = 158,674.50/x
  3. Step 3: Cross multiply
    125,229x = 158,674.50 × 158,674.50
  4. Step 4: Simplify right side
    125,229x = 25,177,596,950.25
  5. Step 5: Solve for x
    x = 25,177,596,950.25/125,229
  6. Step 6: Final answer
    x = 201,052.45

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.