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Finding the Third Proportional to 56,523 and 121,791

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Solution

The third proportional to 56,523 and 121,791 is: 262,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,523 : 121,791 = 121,791 : x
  2. Step 2: Convert to fraction form
    56,523/121,791 = 121,791/x
  3. Step 3: Cross multiply
    56,523x = 121,791 × 121,791
  4. Step 4: Simplify right side
    56,523x = 14,833,047,681
  5. Step 5: Solve for x
    x = 14,833,047,681/56,523
  6. Step 6: Final answer
    x = 262,424.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.