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Finding the Third Proportional to 53,388 and 83,748

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Solution

The third proportional to 53,388 and 83,748 is: 131,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,388 : 83,748 = 83,748 : x
  2. Step 2: Convert to fraction form
    53,388/83,748 = 83,748/x
  3. Step 3: Cross multiply
    53,388x = 83,748 × 83,748
  4. Step 4: Simplify right side
    53,388x = 7,013,727,504
  5. Step 5: Solve for x
    x = 7,013,727,504/53,388
  6. Step 6: Final answer
    x = 131,372.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.