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Finding the Third Proportional to 52,284 and 78,913.13

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Solution

The third proportional to 52,284 and 78,913.13 is: 119,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,284 : 78,913.13 = 78,913.13 : x
  2. Step 2: Convert to fraction form
    52,284/78,913.13 = 78,913.13/x
  3. Step 3: Cross multiply
    52,284x = 78,913.13 × 78,913.13
  4. Step 4: Simplify right side
    52,284x = 6,227,281,297.27
  5. Step 5: Solve for x
    x = 6,227,281,297.27/52,284
  6. Step 6: Final answer
    x = 119,104.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.