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Finding the Third Proportional to 44,925 and 97,328

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Solution

The third proportional to 44,925 and 97,328 is: 210,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,925 : 97,328 = 97,328 : x
  2. Step 2: Convert to fraction form
    44,925/97,328 = 97,328/x
  3. Step 3: Cross multiply
    44,925x = 97,328 × 97,328
  4. Step 4: Simplify right side
    44,925x = 9,472,739,584
  5. Step 5: Solve for x
    x = 9,472,739,584/44,925
  6. Step 6: Final answer
    x = 210,856.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.