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Finding the Third Proportional to 52,969 and 74,088

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Solution

The third proportional to 52,969 and 74,088 is: 103,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,969 : 74,088 = 74,088 : x
  2. Step 2: Convert to fraction form
    52,969/74,088 = 74,088/x
  3. Step 3: Cross multiply
    52,969x = 74,088 × 74,088
  4. Step 4: Simplify right side
    52,969x = 5,489,031,744
  5. Step 5: Solve for x
    x = 5,489,031,744/52,969
  6. Step 6: Final answer
    x = 103,627.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.