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Finding the Third Proportional to 43,681 and 93,590

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Solution

The third proportional to 43,681 and 93,590 is: 200,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,681 : 93,590 = 93,590 : x
  2. Step 2: Convert to fraction form
    43,681/93,590 = 93,590/x
  3. Step 3: Cross multiply
    43,681x = 93,590 × 93,590
  4. Step 4: Simplify right side
    43,681x = 8,759,088,100
  5. Step 5: Solve for x
    x = 8,759,088,100/43,681
  6. Step 6: Final answer
    x = 200,523.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.