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Finding the Third Proportional to 55,831.50 and 121,700.81

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Solution

The third proportional to 55,831.50 and 121,700.81 is: 265,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,831.50 : 121,700.81 = 121,700.81 : x
  2. Step 2: Convert to fraction form
    55,831.50/121,700.81 = 121,700.81/x
  3. Step 3: Cross multiply
    55,831.50x = 121,700.81 × 121,700.81
  4. Step 4: Simplify right side
    55,831.50x = 14,811,087,763.16
  5. Step 5: Solve for x
    x = 14,811,087,763.16/55,831.50
  6. Step 6: Final answer
    x = 265,281.92

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Why These Related Problems?

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