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Finding the Third Proportional to 73,149 and 98,046

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Solution

The third proportional to 73,149 and 98,046 is: 131,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,149 : 98,046 = 98,046 : x
  2. Step 2: Convert to fraction form
    73,149/98,046 = 98,046/x
  3. Step 3: Cross multiply
    73,149x = 98,046 × 98,046
  4. Step 4: Simplify right side
    73,149x = 9,613,018,116
  5. Step 5: Solve for x
    x = 9,613,018,116/73,149
  6. Step 6: Final answer
    x = 131,416.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.