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Finding the Third Proportional to 42,558 and 64,989

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Solution

The third proportional to 42,558 and 64,989 is: 99,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,558 : 64,989 = 64,989 : x
  2. Step 2: Convert to fraction form
    42,558/64,989 = 64,989/x
  3. Step 3: Cross multiply
    42,558x = 64,989 × 64,989
  4. Step 4: Simplify right side
    42,558x = 4,223,570,121
  5. Step 5: Solve for x
    x = 4,223,570,121/42,558
  6. Step 6: Final answer
    x = 99,242.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.