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Finding the Third Proportional to 52,534 and 78,855

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Solution

The third proportional to 52,534 and 78,855 is: 118,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,534 : 78,855 = 78,855 : x
  2. Step 2: Convert to fraction form
    52,534/78,855 = 78,855/x
  3. Step 3: Cross multiply
    52,534x = 78,855 × 78,855
  4. Step 4: Simplify right side
    52,534x = 6,218,111,025
  5. Step 5: Solve for x
    x = 6,218,111,025/52,534
  6. Step 6: Final answer
    x = 118,363.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.