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Finding the Third Proportional to 68,044 and 145,925

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Solution

The third proportional to 68,044 and 145,925 is: 312,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,044 : 145,925 = 145,925 : x
  2. Step 2: Convert to fraction form
    68,044/145,925 = 145,925/x
  3. Step 3: Cross multiply
    68,044x = 145,925 × 145,925
  4. Step 4: Simplify right side
    68,044x = 21,294,105,625
  5. Step 5: Solve for x
    x = 21,294,105,625/68,044
  6. Step 6: Final answer
    x = 312,946.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.