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Finding the Third Proportional to 71,386 and 93,814

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Solution

The third proportional to 71,386 and 93,814 is: 123,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,386 : 93,814 = 93,814 : x
  2. Step 2: Convert to fraction form
    71,386/93,814 = 93,814/x
  3. Step 3: Cross multiply
    71,386x = 93,814 × 93,814
  4. Step 4: Simplify right side
    71,386x = 8,801,066,596
  5. Step 5: Solve for x
    x = 8,801,066,596/71,386
  6. Step 6: Final answer
    x = 123,288.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.