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Finding the Third Proportional to 75,164 and 98,858

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Solution

The third proportional to 75,164 and 98,858 is: 130,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164 : 98,858 = 98,858 : x
  2. Step 2: Convert to fraction form
    75,164/98,858 = 98,858/x
  3. Step 3: Cross multiply
    75,164x = 98,858 × 98,858
  4. Step 4: Simplify right side
    75,164x = 9,772,904,164
  5. Step 5: Solve for x
    x = 9,772,904,164/75,164
  6. Step 6: Final answer
    x = 130,021.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.