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Finding the Third Proportional to 43,700 and 93,120

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Solution

The third proportional to 43,700 and 93,120 is: 198,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,700 : 93,120 = 93,120 : x
  2. Step 2: Convert to fraction form
    43,700/93,120 = 93,120/x
  3. Step 3: Cross multiply
    43,700x = 93,120 × 93,120
  4. Step 4: Simplify right side
    43,700x = 8,671,334,400
  5. Step 5: Solve for x
    x = 8,671,334,400/43,700
  6. Step 6: Final answer
    x = 198,428.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.