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Finding the Third Proportional to 45,822 and 97,071

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Solution

The third proportional to 45,822 and 97,071 is: 205,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,822 : 97,071 = 97,071 : x
  2. Step 2: Convert to fraction form
    45,822/97,071 = 97,071/x
  3. Step 3: Cross multiply
    45,822x = 97,071 × 97,071
  4. Step 4: Simplify right side
    45,822x = 9,422,779,041
  5. Step 5: Solve for x
    x = 9,422,779,041/45,822
  6. Step 6: Final answer
    x = 205,638.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.