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Finding the Third Proportional to 64,160 and 94,592

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Solution

The third proportional to 64,160 and 94,592 is: 139,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,160 : 94,592 = 94,592 : x
  2. Step 2: Convert to fraction form
    64,160/94,592 = 94,592/x
  3. Step 3: Cross multiply
    64,160x = 94,592 × 94,592
  4. Step 4: Simplify right side
    64,160x = 8,947,646,464
  5. Step 5: Solve for x
    x = 8,947,646,464/64,160
  6. Step 6: Final answer
    x = 139,458.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.