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Finding the Third Proportional to 51,008 and 78,784

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Solution

The third proportional to 51,008 and 78,784 is: 121,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008 : 78,784 = 78,784 : x
  2. Step 2: Convert to fraction form
    51,008/78,784 = 78,784/x
  3. Step 3: Cross multiply
    51,008x = 78,784 × 78,784
  4. Step 4: Simplify right side
    51,008x = 6,206,918,656
  5. Step 5: Solve for x
    x = 6,206,918,656/51,008
  6. Step 6: Final answer
    x = 121,685.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.