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Finding the Third Proportional to 65,903.63 and 141,557.63

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Solution

The third proportional to 65,903.63 and 141,557.63 is: 304,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.63 : 141,557.63 = 141,557.63 : x
  2. Step 2: Convert to fraction form
    65,903.63/141,557.63 = 141,557.63/x
  3. Step 3: Cross multiply
    65,903.63x = 141,557.63 × 141,557.63
  4. Step 4: Simplify right side
    65,903.63x = 20,038,561,195.64
  5. Step 5: Solve for x
    x = 20,038,561,195.64/65,903.63
  6. Step 6: Final answer
    x = 304,058.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.