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Finding the Third Proportional to 49,046 and 77,715

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Solution

The third proportional to 49,046 and 77,715 is: 123,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,046 : 77,715 = 77,715 : x
  2. Step 2: Convert to fraction form
    49,046/77,715 = 77,715/x
  3. Step 3: Cross multiply
    49,046x = 77,715 × 77,715
  4. Step 4: Simplify right side
    49,046x = 6,039,621,225
  5. Step 5: Solve for x
    x = 6,039,621,225/49,046
  6. Step 6: Final answer
    x = 123,141.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.