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Finding the Third Proportional to 42,058 and 90,316

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Solution

The third proportional to 42,058 and 90,316 is: 193,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,058 : 90,316 = 90,316 : x
  2. Step 2: Convert to fraction form
    42,058/90,316 = 90,316/x
  3. Step 3: Cross multiply
    42,058x = 90,316 × 90,316
  4. Step 4: Simplify right side
    42,058x = 8,156,979,856
  5. Step 5: Solve for x
    x = 8,156,979,856/42,058
  6. Step 6: Final answer
    x = 193,945.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.