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Finding the Third Proportional to 64,843 and 97,265

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Solution

The third proportional to 64,843 and 97,265 is: 145,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,843 : 97,265 = 97,265 : x
  2. Step 2: Convert to fraction form
    64,843/97,265 = 97,265/x
  3. Step 3: Cross multiply
    64,843x = 97,265 × 97,265
  4. Step 4: Simplify right side
    64,843x = 9,460,480,225
  5. Step 5: Solve for x
    x = 9,460,480,225/64,843
  6. Step 6: Final answer
    x = 145,898.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.