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Finding the Third Proportional to 74,060 and 105,831.50

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Solution

The third proportional to 74,060 and 105,831.50 is: 151,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,060 : 105,831.50 = 105,831.50 : x
  2. Step 2: Convert to fraction form
    74,060/105,831.50 = 105,831.50/x
  3. Step 3: Cross multiply
    74,060x = 105,831.50 × 105,831.50
  4. Step 4: Simplify right side
    74,060x = 11,200,306,392.25
  5. Step 5: Solve for x
    x = 11,200,306,392.25/74,060
  6. Step 6: Final answer
    x = 151,232.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.