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Finding the Third Proportional to 129,303 and 193,171.50

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Solution

The third proportional to 129,303 and 193,171.50 is: 288,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,303 : 193,171.50 = 193,171.50 : x
  2. Step 2: Convert to fraction form
    129,303/193,171.50 = 193,171.50/x
  3. Step 3: Cross multiply
    129,303x = 193,171.50 × 193,171.50
  4. Step 4: Simplify right side
    129,303x = 37,315,228,412.25
  5. Step 5: Solve for x
    x = 37,315,228,412.25/129,303
  6. Step 6: Final answer
    x = 288,587.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.