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Finding the Third Proportional to 53,563 and 78,687

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Solution

The third proportional to 53,563 and 78,687 is: 115,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,563 : 78,687 = 78,687 : x
  2. Step 2: Convert to fraction form
    53,563/78,687 = 78,687/x
  3. Step 3: Cross multiply
    53,563x = 78,687 × 78,687
  4. Step 4: Simplify right side
    53,563x = 6,191,643,969
  5. Step 5: Solve for x
    x = 6,191,643,969/53,563
  6. Step 6: Final answer
    x = 115,595.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.