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Finding the Third Proportional to 109,080 and 237,870

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Solution

The third proportional to 109,080 and 237,870 is: 518,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,080 : 237,870 = 237,870 : x
  2. Step 2: Convert to fraction form
    109,080/237,870 = 237,870/x
  3. Step 3: Cross multiply
    109,080x = 237,870 × 237,870
  4. Step 4: Simplify right side
    109,080x = 56,582,136,900
  5. Step 5: Solve for x
    x = 56,582,136,900/109,080
  6. Step 6: Final answer
    x = 518,721.46

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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.