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Finding the Third Proportional to 63,504.50 and 137,953

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Solution

The third proportional to 63,504.50 and 137,953 is: 299,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,504.50 : 137,953 = 137,953 : x
  2. Step 2: Convert to fraction form
    63,504.50/137,953 = 137,953/x
  3. Step 3: Cross multiply
    63,504.50x = 137,953 × 137,953
  4. Step 4: Simplify right side
    63,504.50x = 19,031,030,209
  5. Step 5: Solve for x
    x = 19,031,030,209/63,504.50
  6. Step 6: Final answer
    x = 299,680.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.