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Finding the Third Proportional to 52,344 and 78,804

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Solution

The third proportional to 52,344 and 78,804 is: 118,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,344 : 78,804 = 78,804 : x
  2. Step 2: Convert to fraction form
    52,344/78,804 = 78,804/x
  3. Step 3: Cross multiply
    52,344x = 78,804 × 78,804
  4. Step 4: Simplify right side
    52,344x = 6,210,070,416
  5. Step 5: Solve for x
    x = 6,210,070,416/52,344
  6. Step 6: Final answer
    x = 118,639.58

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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.