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Finding the Third Proportional to 109,145 and 237,724

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Solution

The third proportional to 109,145 and 237,724 is: 517,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,145 : 237,724 = 237,724 : x
  2. Step 2: Convert to fraction form
    109,145/237,724 = 237,724/x
  3. Step 3: Cross multiply
    109,145x = 237,724 × 237,724
  4. Step 4: Simplify right side
    109,145x = 56,512,700,176
  5. Step 5: Solve for x
    x = 56,512,700,176/109,145
  6. Step 6: Final answer
    x = 517,776.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.