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Finding the Third Proportional to 74,857.50 and 110,098.13

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Solution

The third proportional to 74,857.50 and 110,098.13 is: 161,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,857.50 : 110,098.13 = 110,098.13 : x
  2. Step 2: Convert to fraction form
    74,857.50/110,098.13 = 110,098.13/x
  3. Step 3: Cross multiply
    74,857.50x = 110,098.13 × 110,098.13
  4. Step 4: Simplify right side
    74,857.50x = 12,121,597,128.52
  5. Step 5: Solve for x
    x = 12,121,597,128.52/74,857.50
  6. Step 6: Final answer
    x = 161,928.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.