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Finding the Third Proportional to 65,072.11 and 98,427.66

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Solution

The third proportional to 65,072.11 and 98,427.66 is: 148,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072.11 : 98,427.66 = 98,427.66 : x
  2. Step 2: Convert to fraction form
    65,072.11/98,427.66 = 98,427.66/x
  3. Step 3: Cross multiply
    65,072.11x = 98,427.66 × 98,427.66
  4. Step 4: Simplify right side
    65,072.11x = 9,688,003,514.87
  5. Step 5: Solve for x
    x = 9,688,003,514.87/65,072.11
  6. Step 6: Final answer
    x = 148,881.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.