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Finding the Third Proportional to 56,831.50 and 89,159

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Solution

The third proportional to 56,831.50 and 89,159 is: 139,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,831.50 : 89,159 = 89,159 : x
  2. Step 2: Convert to fraction form
    56,831.50/89,159 = 89,159/x
  3. Step 3: Cross multiply
    56,831.50x = 89,159 × 89,159
  4. Step 4: Simplify right side
    56,831.50x = 7,949,327,281
  5. Step 5: Solve for x
    x = 7,949,327,281/56,831.50
  6. Step 6: Final answer
    x = 139,875.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.