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Finding the Third Proportional to 56,218 and 84,023

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Solution

The third proportional to 56,218 and 84,023 is: 125,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,218 : 84,023 = 84,023 : x
  2. Step 2: Convert to fraction form
    56,218/84,023 = 84,023/x
  3. Step 3: Cross multiply
    56,218x = 84,023 × 84,023
  4. Step 4: Simplify right side
    56,218x = 7,059,864,529
  5. Step 5: Solve for x
    x = 7,059,864,529/56,218
  6. Step 6: Final answer
    x = 125,580.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.