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Finding the Third Proportional to 64,252 and 98,884

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Solution

The third proportional to 64,252 and 98,884 is: 152,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,252 : 98,884 = 98,884 : x
  2. Step 2: Convert to fraction form
    64,252/98,884 = 98,884/x
  3. Step 3: Cross multiply
    64,252x = 98,884 × 98,884
  4. Step 4: Simplify right side
    64,252x = 9,778,045,456
  5. Step 5: Solve for x
    x = 9,778,045,456/64,252
  6. Step 6: Final answer
    x = 152,182.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.