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Finding the Third Proportional to 98,374.50 and 138,333.75

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Solution

The third proportional to 98,374.50 and 138,333.75 is: 194,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,374.50 : 138,333.75 = 138,333.75 : x
  2. Step 2: Convert to fraction form
    98,374.50/138,333.75 = 138,333.75/x
  3. Step 3: Cross multiply
    98,374.50x = 138,333.75 × 138,333.75
  4. Step 4: Simplify right side
    98,374.50x = 19,136,226,389.06
  5. Step 5: Solve for x
    x = 19,136,226,389.06/98,374.50
  6. Step 6: Final answer
    x = 194,524.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.