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Finding the Third Proportional to 61,322 and 93,764

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Solution

The third proportional to 61,322 and 93,764 is: 143,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,322 : 93,764 = 93,764 : x
  2. Step 2: Convert to fraction form
    61,322/93,764 = 93,764/x
  3. Step 3: Cross multiply
    61,322x = 93,764 × 93,764
  4. Step 4: Simplify right side
    61,322x = 8,791,687,696
  5. Step 5: Solve for x
    x = 8,791,687,696/61,322
  6. Step 6: Final answer
    x = 143,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.