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Finding the Third Proportional to 74,632 and 112,670

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Solution

The third proportional to 74,632 and 112,670 is: 170,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,632 : 112,670 = 112,670 : x
  2. Step 2: Convert to fraction form
    74,632/112,670 = 112,670/x
  3. Step 3: Cross multiply
    74,632x = 112,670 × 112,670
  4. Step 4: Simplify right side
    74,632x = 12,694,528,900
  5. Step 5: Solve for x
    x = 12,694,528,900/74,632
  6. Step 6: Final answer
    x = 170,094.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.