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Finding the Third Proportional to 56,829 and 86,973

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Solution

The third proportional to 56,829 and 86,973 is: 133,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,829 : 86,973 = 86,973 : x
  2. Step 2: Convert to fraction form
    56,829/86,973 = 86,973/x
  3. Step 3: Cross multiply
    56,829x = 86,973 × 86,973
  4. Step 4: Simplify right side
    56,829x = 7,564,302,729
  5. Step 5: Solve for x
    x = 7,564,302,729/56,829
  6. Step 6: Final answer
    x = 133,106.38

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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.