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Finding the Third Proportional to 64,652.25 and 97,056

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Solution

The third proportional to 64,652.25 and 97,056 is: 145,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,652.25 : 97,056 = 97,056 : x
  2. Step 2: Convert to fraction form
    64,652.25/97,056 = 97,056/x
  3. Step 3: Cross multiply
    64,652.25x = 97,056 × 97,056
  4. Step 4: Simplify right side
    64,652.25x = 9,419,867,136
  5. Step 5: Solve for x
    x = 9,419,867,136/64,652.25
  6. Step 6: Final answer
    x = 145,700.53

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Why These Related Problems?

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