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Finding the Third Proportional to 53,595 and 78,841

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Solution

The third proportional to 53,595 and 78,841 is: 115,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,595 : 78,841 = 78,841 : x
  2. Step 2: Convert to fraction form
    53,595/78,841 = 78,841/x
  3. Step 3: Cross multiply
    53,595x = 78,841 × 78,841
  4. Step 4: Simplify right side
    53,595x = 6,215,903,281
  5. Step 5: Solve for x
    x = 6,215,903,281/53,595
  6. Step 6: Final answer
    x = 115,979.16

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Why These Related Problems?

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