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Finding the Third Proportional to 45,083 and 64,938

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Solution

The third proportional to 45,083 and 64,938 is: 93,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,083 : 64,938 = 64,938 : x
  2. Step 2: Convert to fraction form
    45,083/64,938 = 64,938/x
  3. Step 3: Cross multiply
    45,083x = 64,938 × 64,938
  4. Step 4: Simplify right side
    45,083x = 4,216,943,844
  5. Step 5: Solve for x
    x = 4,216,943,844/45,083
  6. Step 6: Final answer
    x = 93,537.34

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.