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Finding the Third Proportional to 66,148 and 97,944

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Solution

The third proportional to 66,148 and 97,944 is: 145,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,148 : 97,944 = 97,944 : x
  2. Step 2: Convert to fraction form
    66,148/97,944 = 97,944/x
  3. Step 3: Cross multiply
    66,148x = 97,944 × 97,944
  4. Step 4: Simplify right side
    66,148x = 9,593,027,136
  5. Step 5: Solve for x
    x = 9,593,027,136/66,148
  6. Step 6: Final answer
    x = 145,023.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.