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Finding the Third Proportional to 49,970 and 108,646

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Solution

The third proportional to 49,970 and 108,646 is: 236,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970 : 108,646 = 108,646 : x
  2. Step 2: Convert to fraction form
    49,970/108,646 = 108,646/x
  3. Step 3: Cross multiply
    49,970x = 108,646 × 108,646
  4. Step 4: Simplify right side
    49,970x = 11,803,953,316
  5. Step 5: Solve for x
    x = 11,803,953,316/49,970
  6. Step 6: Final answer
    x = 236,220.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.