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Finding the Third Proportional to 63,205.50 and 145,953

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Solution

The third proportional to 63,205.50 and 145,953 is: 337,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,205.50 : 145,953 = 145,953 : x
  2. Step 2: Convert to fraction form
    63,205.50/145,953 = 145,953/x
  3. Step 3: Cross multiply
    63,205.50x = 145,953 × 145,953
  4. Step 4: Simplify right side
    63,205.50x = 21,302,278,209
  5. Step 5: Solve for x
    x = 21,302,278,209/63,205.50
  6. Step 6: Final answer
    x = 337,032.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.