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Finding the Third Proportional to 42,308 and 94,071

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Solution

The third proportional to 42,308 and 94,071 is: 209,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308 : 94,071 = 94,071 : x
  2. Step 2: Convert to fraction form
    42,308/94,071 = 94,071/x
  3. Step 3: Cross multiply
    42,308x = 94,071 × 94,071
  4. Step 4: Simplify right side
    42,308x = 8,849,353,041
  5. Step 5: Solve for x
    x = 8,849,353,041/42,308
  6. Step 6: Final answer
    x = 209,165.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.