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Finding the Third Proportional to 64,044 and 100,476

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Solution

The third proportional to 64,044 and 100,476 is: 157,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,044 : 100,476 = 100,476 : x
  2. Step 2: Convert to fraction form
    64,044/100,476 = 100,476/x
  3. Step 3: Cross multiply
    64,044x = 100,476 × 100,476
  4. Step 4: Simplify right side
    64,044x = 10,095,426,576
  5. Step 5: Solve for x
    x = 10,095,426,576/64,044
  6. Step 6: Final answer
    x = 157,632.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.