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Finding the Third Proportional to 45,943 and 67,090

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Solution

The third proportional to 45,943 and 67,090 is: 97,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,943 : 67,090 = 67,090 : x
  2. Step 2: Convert to fraction form
    45,943/67,090 = 67,090/x
  3. Step 3: Cross multiply
    45,943x = 67,090 × 67,090
  4. Step 4: Simplify right side
    45,943x = 4,501,068,100
  5. Step 5: Solve for x
    x = 4,501,068,100/45,943
  6. Step 6: Final answer
    x = 97,970.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.