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Finding the Third Proportional to 51,670 and 109,547

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Solution

The third proportional to 51,670 and 109,547 is: 232,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,670 : 109,547 = 109,547 : x
  2. Step 2: Convert to fraction form
    51,670/109,547 = 109,547/x
  3. Step 3: Cross multiply
    51,670x = 109,547 × 109,547
  4. Step 4: Simplify right side
    51,670x = 12,000,545,209
  5. Step 5: Solve for x
    x = 12,000,545,209/51,670
  6. Step 6: Final answer
    x = 232,253.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.