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Finding the Third Proportional to 53,683 and 78,677

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Solution

The third proportional to 53,683 and 78,677 is: 115,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683 : 78,677 = 78,677 : x
  2. Step 2: Convert to fraction form
    53,683/78,677 = 78,677/x
  3. Step 3: Cross multiply
    53,683x = 78,677 × 78,677
  4. Step 4: Simplify right side
    53,683x = 6,190,070,329
  5. Step 5: Solve for x
    x = 6,190,070,329/53,683
  6. Step 6: Final answer
    x = 115,307.83

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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.