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Finding the Third Proportional to 43,076 and 93,298

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Solution

The third proportional to 43,076 and 93,298 is: 202,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,076 : 93,298 = 93,298 : x
  2. Step 2: Convert to fraction form
    43,076/93,298 = 93,298/x
  3. Step 3: Cross multiply
    43,076x = 93,298 × 93,298
  4. Step 4: Simplify right side
    43,076x = 8,704,516,804
  5. Step 5: Solve for x
    x = 8,704,516,804/43,076
  6. Step 6: Final answer
    x = 202,073.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.