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Finding the Third Proportional to 124,893 and 191,515.50

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Solution

The third proportional to 124,893 and 191,515.50 is: 293,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,893 : 191,515.50 = 191,515.50 : x
  2. Step 2: Convert to fraction form
    124,893/191,515.50 = 191,515.50/x
  3. Step 3: Cross multiply
    124,893x = 191,515.50 × 191,515.50
  4. Step 4: Simplify right side
    124,893x = 36,678,186,740.25
  5. Step 5: Solve for x
    x = 36,678,186,740.25/124,893
  6. Step 6: Final answer
    x = 293,676.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.