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Finding the Third Proportional to 64,975 and 141,046

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Solution

The third proportional to 64,975 and 141,046 is: 306,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,975 : 141,046 = 141,046 : x
  2. Step 2: Convert to fraction form
    64,975/141,046 = 141,046/x
  3. Step 3: Cross multiply
    64,975x = 141,046 × 141,046
  4. Step 4: Simplify right side
    64,975x = 19,893,974,116
  5. Step 5: Solve for x
    x = 19,893,974,116/64,975
  6. Step 6: Final answer
    x = 306,178.90

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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.