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Finding the Third Proportional to 52,785 and 77,769

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Solution

The third proportional to 52,785 and 77,769 is: 114,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785 : 77,769 = 77,769 : x
  2. Step 2: Convert to fraction form
    52,785/77,769 = 77,769/x
  3. Step 3: Cross multiply
    52,785x = 77,769 × 77,769
  4. Step 4: Simplify right side
    52,785x = 6,048,017,361
  5. Step 5: Solve for x
    x = 6,048,017,361/52,785
  6. Step 6: Final answer
    x = 114,578.33

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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.