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Finding the Third Proportional to 59,871 and 130,403.25

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Solution

The third proportional to 59,871 and 130,403.25 is: 284,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,871 : 130,403.25 = 130,403.25 : x
  2. Step 2: Convert to fraction form
    59,871/130,403.25 = 130,403.25/x
  3. Step 3: Cross multiply
    59,871x = 130,403.25 × 130,403.25
  4. Step 4: Simplify right side
    59,871x = 17,005,007,610.56
  5. Step 5: Solve for x
    x = 17,005,007,610.56/59,871
  6. Step 6: Final answer
    x = 284,027.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.