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Finding the Third Proportional to 65,498.63 and 141,456.38

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Solution

The third proportional to 65,498.63 and 141,456.38 is: 305,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.63 : 141,456.38 = 141,456.38 : x
  2. Step 2: Convert to fraction form
    65,498.63/141,456.38 = 141,456.38/x
  3. Step 3: Cross multiply
    65,498.63x = 141,456.38 × 141,456.38
  4. Step 4: Simplify right side
    65,498.63x = 20,009,906,028.14
  5. Step 5: Solve for x
    x = 20,009,906,028.14/65,498.63
  6. Step 6: Final answer
    x = 305,501.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.