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Finding the Third Proportional to 56,501 and 83,023

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Solution

The third proportional to 56,501 and 83,023 is: 121,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,501 : 83,023 = 83,023 : x
  2. Step 2: Convert to fraction form
    56,501/83,023 = 83,023/x
  3. Step 3: Cross multiply
    56,501x = 83,023 × 83,023
  4. Step 4: Simplify right side
    56,501x = 6,892,818,529
  5. Step 5: Solve for x
    x = 6,892,818,529/56,501
  6. Step 6: Final answer
    x = 121,994.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.