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Finding the Third Proportional to 64,316 and 100,592

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Solution

The third proportional to 64,316 and 100,592 is: 157,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,316 : 100,592 = 100,592 : x
  2. Step 2: Convert to fraction form
    64,316/100,592 = 100,592/x
  3. Step 3: Cross multiply
    64,316x = 100,592 × 100,592
  4. Step 4: Simplify right side
    64,316x = 10,118,750,464
  5. Step 5: Solve for x
    x = 10,118,750,464/64,316
  6. Step 6: Final answer
    x = 157,328.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.