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Finding the Third Proportional to 108,064 and 237,145

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Solution

The third proportional to 108,064 and 237,145 is: 520,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,064 : 237,145 = 237,145 : x
  2. Step 2: Convert to fraction form
    108,064/237,145 = 237,145/x
  3. Step 3: Cross multiply
    108,064x = 237,145 × 237,145
  4. Step 4: Simplify right side
    108,064x = 56,237,751,025
  5. Step 5: Solve for x
    x = 56,237,751,025/108,064
  6. Step 6: Final answer
    x = 520,411.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.