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Finding the Third Proportional to 61,968 and 83,520

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Solution

The third proportional to 61,968 and 83,520 is: 112,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,968 : 83,520 = 83,520 : x
  2. Step 2: Convert to fraction form
    61,968/83,520 = 83,520/x
  3. Step 3: Cross multiply
    61,968x = 83,520 × 83,520
  4. Step 4: Simplify right side
    61,968x = 6,975,590,400
  5. Step 5: Solve for x
    x = 6,975,590,400/61,968
  6. Step 6: Final answer
    x = 112,567.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.