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Finding the Third Proportional to 52,725 and 79,002

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Solution

The third proportional to 52,725 and 79,002 is: 118,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,725 : 79,002 = 79,002 : x
  2. Step 2: Convert to fraction form
    52,725/79,002 = 79,002/x
  3. Step 3: Cross multiply
    52,725x = 79,002 × 79,002
  4. Step 4: Simplify right side
    52,725x = 6,241,316,004
  5. Step 5: Solve for x
    x = 6,241,316,004/52,725
  6. Step 6: Final answer
    x = 118,374.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.