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Finding the Third Proportional to 70,564.50 and 100,332

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Solution

The third proportional to 70,564.50 and 100,332 is: 142,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,564.50 : 100,332 = 100,332 : x
  2. Step 2: Convert to fraction form
    70,564.50/100,332 = 100,332/x
  3. Step 3: Cross multiply
    70,564.50x = 100,332 × 100,332
  4. Step 4: Simplify right side
    70,564.50x = 10,066,510,224
  5. Step 5: Solve for x
    x = 10,066,510,224/70,564.50
  6. Step 6: Final answer
    x = 142,656.86

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.