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Finding the Third Proportional to 75,848 and 113,776

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Solution

The third proportional to 75,848 and 113,776 is: 170,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,848 : 113,776 = 113,776 : x
  2. Step 2: Convert to fraction form
    75,848/113,776 = 113,776/x
  3. Step 3: Cross multiply
    75,848x = 113,776 × 113,776
  4. Step 4: Simplify right side
    75,848x = 12,944,978,176
  5. Step 5: Solve for x
    x = 12,944,978,176/75,848
  6. Step 6: Final answer
    x = 170,670.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.