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Finding the Third Proportional to 53,204 and 78,776

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Solution

The third proportional to 53,204 and 78,776 is: 116,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204 : 78,776 = 78,776 : x
  2. Step 2: Convert to fraction form
    53,204/78,776 = 78,776/x
  3. Step 3: Cross multiply
    53,204x = 78,776 × 78,776
  4. Step 4: Simplify right side
    53,204x = 6,205,658,176
  5. Step 5: Solve for x
    x = 6,205,658,176/53,204
  6. Step 6: Final answer
    x = 116,638.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.