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Finding the Third Proportional to 42,259 and 64,961

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Solution

The third proportional to 42,259 and 64,961 is: 99,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,259 : 64,961 = 64,961 : x
  2. Step 2: Convert to fraction form
    42,259/64,961 = 64,961/x
  3. Step 3: Cross multiply
    42,259x = 64,961 × 64,961
  4. Step 4: Simplify right side
    42,259x = 4,219,931,521
  5. Step 5: Solve for x
    x = 4,219,931,521/42,259
  6. Step 6: Final answer
    x = 99,858.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.