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Finding the Third Proportional to 43,076 and 63,345

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Solution

The third proportional to 43,076 and 63,345 is: 93,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,076 : 63,345 = 63,345 : x
  2. Step 2: Convert to fraction form
    43,076/63,345 = 63,345/x
  3. Step 3: Cross multiply
    43,076x = 63,345 × 63,345
  4. Step 4: Simplify right side
    43,076x = 4,012,589,025
  5. Step 5: Solve for x
    x = 4,012,589,025/43,076
  6. Step 6: Final answer
    x = 93,151.38

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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.