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Finding the Third Proportional to 63,094.50 and 137,946

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Solution

The third proportional to 63,094.50 and 137,946 is: 301,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,094.50 : 137,946 = 137,946 : x
  2. Step 2: Convert to fraction form
    63,094.50/137,946 = 137,946/x
  3. Step 3: Cross multiply
    63,094.50x = 137,946 × 137,946
  4. Step 4: Simplify right side
    63,094.50x = 19,029,098,916
  5. Step 5: Solve for x
    x = 19,029,098,916/63,094.50
  6. Step 6: Final answer
    x = 301,596.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.