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Finding the Third Proportional to 70,364.63 and 103,685.63

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Solution

The third proportional to 70,364.63 and 103,685.63 is: 152,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,364.63 : 103,685.63 = 103,685.63 : x
  2. Step 2: Convert to fraction form
    70,364.63/103,685.63 = 103,685.63/x
  3. Step 3: Cross multiply
    70,364.63x = 103,685.63 × 103,685.63
  4. Step 4: Simplify right side
    70,364.63x = 10,750,708,831.64
  5. Step 5: Solve for x
    x = 10,750,708,831.64/70,364.63
  6. Step 6: Final answer
    x = 152,785.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.