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Finding the Third Proportional to 113,484.50 and 164,899

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Solution

The third proportional to 113,484.50 and 164,899 is: 239,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,484.50 : 164,899 = 164,899 : x
  2. Step 2: Convert to fraction form
    113,484.50/164,899 = 164,899/x
  3. Step 3: Cross multiply
    113,484.50x = 164,899 × 164,899
  4. Step 4: Simplify right side
    113,484.50x = 27,191,680,201
  5. Step 5: Solve for x
    x = 27,191,680,201/113,484.50
  6. Step 6: Final answer
    x = 239,607.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.