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Finding the Third Proportional to 56,276 and 123,008

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Solution

The third proportional to 56,276 and 123,008 is: 268,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,276 : 123,008 = 123,008 : x
  2. Step 2: Convert to fraction form
    56,276/123,008 = 123,008/x
  3. Step 3: Cross multiply
    56,276x = 123,008 × 123,008
  4. Step 4: Simplify right side
    56,276x = 15,130,968,064
  5. Step 5: Solve for x
    x = 15,130,968,064/56,276
  6. Step 6: Final answer
    x = 268,870.71

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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.