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Finding the Third Proportional to 78,788 and 116,948

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Solution

The third proportional to 78,788 and 116,948 is: 173,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,788 : 116,948 = 116,948 : x
  2. Step 2: Convert to fraction form
    78,788/116,948 = 116,948/x
  3. Step 3: Cross multiply
    78,788x = 116,948 × 116,948
  4. Step 4: Simplify right side
    78,788x = 13,676,834,704
  5. Step 5: Solve for x
    x = 13,676,834,704/78,788
  6. Step 6: Final answer
    x = 173,590.33

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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.