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Finding the Third Proportional to 108,058.69 and 237,136.13

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Solution

The third proportional to 108,058.69 and 237,136.13 is: 520,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,058.69 : 237,136.13 = 237,136.13 : x
  2. Step 2: Convert to fraction form
    108,058.69/237,136.13 = 237,136.13/x
  3. Step 3: Cross multiply
    108,058.69x = 237,136.13 × 237,136.13
  4. Step 4: Simplify right side
    108,058.69x = 56,233,541,780.02
  5. Step 5: Solve for x
    x = 56,233,541,780.02/108,058.69
  6. Step 6: Final answer
    x = 520,398.16

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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.