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Finding the Third Proportional to 53,285.50 and 79,562

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Solution

The third proportional to 53,285.50 and 79,562 is: 118,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,285.50 : 79,562 = 79,562 : x
  2. Step 2: Convert to fraction form
    53,285.50/79,562 = 79,562/x
  3. Step 3: Cross multiply
    53,285.50x = 79,562 × 79,562
  4. Step 4: Simplify right side
    53,285.50x = 6,330,111,844
  5. Step 5: Solve for x
    x = 6,330,111,844/53,285.50
  6. Step 6: Final answer
    x = 118,796.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.