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Finding the Third Proportional to 129,118.50 and 188,541

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Solution

The third proportional to 129,118.50 and 188,541 is: 275,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,118.50 : 188,541 = 188,541 : x
  2. Step 2: Convert to fraction form
    129,118.50/188,541 = 188,541/x
  3. Step 3: Cross multiply
    129,118.50x = 188,541 × 188,541
  4. Step 4: Simplify right side
    129,118.50x = 35,547,708,681
  5. Step 5: Solve for x
    x = 35,547,708,681/129,118.50
  6. Step 6: Final answer
    x = 275,310.73

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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.