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Finding the Third Proportional to 54,076 and 72,334

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Solution

The third proportional to 54,076 and 72,334 is: 96,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,076 : 72,334 = 72,334 : x
  2. Step 2: Convert to fraction form
    54,076/72,334 = 72,334/x
  3. Step 3: Cross multiply
    54,076x = 72,334 × 72,334
  4. Step 4: Simplify right side
    54,076x = 5,232,207,556
  5. Step 5: Solve for x
    x = 5,232,207,556/54,076
  6. Step 6: Final answer
    x = 96,756.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.