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Finding the Third Proportional to 75,270.63 and 110,079.94

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Solution

The third proportional to 75,270.63 and 110,079.94 is: 160,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,270.63 : 110,079.94 = 110,079.94 : x
  2. Step 2: Convert to fraction form
    75,270.63/110,079.94 = 110,079.94/x
  3. Step 3: Cross multiply
    75,270.63x = 110,079.94 × 110,079.94
  4. Step 4: Simplify right side
    75,270.63x = 12,117,592,640.00
  5. Step 5: Solve for x
    x = 12,117,592,640.00/75,270.63
  6. Step 6: Final answer
    x = 160,987.01

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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.